# (-3^7)^7 using power rules to simplify the expression

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-3 ^ 14

In general (a ^ b) ^ c = a ^ (b+c)

Posted on May 07, 2014

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Posted on Jan 02, 2017

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## Related Questions:

### What is factoring and give the examples

Quick-Start Guide When you enter an expression into the calculator, the calculator will simplify the expression by expanding multiplication and combining like terms. At this point the calculator will attempt to factor the expression by dividing a G C F, and identifying a difference between two squares, or factorable trinomials. Use the following rules to enter expressions into the calculator. Variables Any lowercase letter may be used as a variable. Exponents Exponents are supported on variables using the ^ (caret) symbol. For example, to express x 2, enter x ^ 2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses. Parentheses and Brackets Parentheses ( ) and brackets [ ] may be used to group terms as in a standard expression. Multiplication, Addition, and Subtraction For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is optional when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * ( x + 5 ) can also be entered as 2 ( x + 5 ) ; 2 x * ( 5 ) can be entered as 2 x ( 5 ). The * is also optional when multiplying parentheses, example: ( x + 1 ) ( x - 1 ). Order of Operations The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not currently supported; attempts to use the / symbol will result in an error. Division, Square Root, Radi cals, Fractions Division, square root, radi cals, and fractions are not supported at this time. A future release will add this functionality.

that's all I can say basically I learned it this way.

Jul 09, 2015 | Office Equipment & Supplies

### Root Square a4a3a1.a2 work it out for me

If I understand correctly, the numbers 4,3,2,3 are exponents of powers. In that case, use the product rule for powers of same base to find a^(4+3+1+2)=a^10
SQRT(a^10)=a^(10/5)=a^2
If the numbers 4,3,1,2 are just numerical factors and not exponents then your expression simplifies to (4*3*1*2)a^(4)=24*a^4 . In that case SQRT(24*a^4)=SQRT(24)*SQRT(a^4)=SQRT(24)*a^2
or 2*SQRT(6)*a^2
Decide which case corresponds to yours and get the appropriate answer.

Sep 17, 2013 | Office Equipment & Supplies

### 9[x+8] + 10 < 55

Use the order of operation rules backward until you isolate x
9(x+8) +10-10< 55-10 : subtract
9(x+8) < 45 : simplify
9(x+8)/9 <45/9 :divide
(x+8) <5 :simplify
x+8 <5 : open parentheses (brackets)
x+8-8<5-8 :subtract
x<-3 : simplify
So, your solution set is the set of all real numbers strictly less than -3 or S=]- infinity, -3[

Sep 16, 2013 | Office Equipment & Supplies

### Simplify the expression 0.2y3+0.3y3+0.1y3 use integers or decimals for any numbers in the expression.

All the terms in the expression have a common variable factor (y^3). factor it out to get (0.2+0.3+0.1)y^3=0.6y^3 or (6/10)y^3 or (3/5)y^3.

Apr 19, 2013 | Office Equipment & Supplies

If your calculator is SetUp for Math Input/Output (MATHIO), a result that gives a radical will remain in radical form. If a radical appears in a denominator the whole expression is rationalized: Any radical left is put in the numerator. 1/Sqr(3) is displayed as Sqr(3)/3.

Feb 01, 2012 | Casio FX-115ES Scientific Calculator

### (a + 2b)(a2 - 2ab - 4b2)

I believe that the algebraic expression should be written as:
(a + 2b)(a^2 - 2ab - 4b^2)

which can be rewritten as:
(a + 2b)^2 * (a - 2b)

The simplified form of this expression is:
(a^3 - 2a^2b - 4ab^2 + 2a^2b - 4ab^2 - 8b^3)

which can then be further simplified as:
(a^3 - 8b^3)

Aug 24, 2011 | Bagatrix Algebra Solved! 2005 (105101) for...

### Give some example of math equation?

The following are examples of expressions:
2
x
3 + 7
2 × y + 5
2 + 6 × (4 - 2)
z + 3 × (8 - z)
Example:
Roland weighs 70 kilograms, and Mark weighs k kilograms. Write an expression for their combined weight. The combined weight in kilograms of these two people is the sum of their weights, which is 70 + k.
Example:
A car travels down the freeway at 55 kilometers per hour. Write an expression for the distance the car will have traveled after h hours. Distance equals rate times time, so the distance traveled is equal to 55 × h..
Example:
There are 2000 liters of water in a swimming pool. Water is filling the pool at the rate of 100 liters per minute. Write an expression for the amount of water, in liters, in the swimming pool after m minutes. The amount of water added to the pool after m minutes will be 100 liters per minute times m, or 100 × m. Since we started with 2000 liters of water in the pool, we add this to the amount of water added to the pool to get the expression 100 × m + 2000.
To evaluate an expression at some number means we replace a variable in an expression with the number, and simplify the expression.
Example:
Evaluate the expression 4 × z + 12 when z = 15.
We replace each occurrence of z with the number 15, and simplify using the usual rules: parentheses first, then exponents, multiplication and division, then addition and subtraction.
4 × z + 12 becomes
4 × 15 + 12 =
60 + 12 =
72
Example:
Evaluate the expression (1 + z) × 2 + 12 ÷ 3 - z when z = 4.
We replace each occurrence of z with the number 4, and simplify using the usual rules: parentheses first, then exponents, multiplication and division, then addition and subtraction.
(1 + z) × 2 + 12 ÷ 3 - z becomes
(1 + 4) × 2 + 12 ÷ 3 - 4 =
5 × 2 + 12 ÷ 3 - 4 =
10 + 4 - 4 =
10.

Jun 22, 2011 | LeapFrog Turbo Twist Math Cartridge 5th...

### How do I enter the following problem to get the correct answer? 4.688(6010)^.8168-.0154 log(10)^6010

I have no stake in the outcome of the calculation, but the way you wrote the expression is ambiguous (in my opinion). Look at the screen and see if that is what you meant. Result is displayed. Nevermind the calculator from which I grabed the screen, that is an irrelevant detail.

I notice that you have log(10), and wondered why you failed to take advantage of the fact that log(10)=1. Had you taken advantage of that fact, you could have (log(10))^6010 =1.
Now look athe next screen capture

If the last part of your expression is log(10^6010), a calculator much more sphisticated that yours was not able to handle the calculation, and found an infinite result but the result is finite. If you use the rule of the common logs log(10^6010) = 6010.

I am merely trying to convey the idea that any expression must be simplified as much as possible before typing it.

Now I make use of the rule about the logs

On the last screen, (log(10))^6010 is set equal to 1. The two expressions yiels identical results.

Once you use the rules about the logs, you expression becomes very easy to handle: You have one power to calculate. For that power you use the [^] key, below the [CLEAR] key.

I think that what I showed you above should help you figure out how to enter the expression on your calculator.

Feb 10, 2010 | Texas Instruments TI-84 Plus Calculator

### 4^3x-5=1/16

Hello,
I will show you the steps. You should be able to carry them out.
1. Get rid of the 5 on the left by transferring it to the right, while obeying the rules.
2. Write the right side as a fraction with 16 as denominator.
3. Calculate 4^3.
4. Get rid of the number that multiply x by transferring to the right side, while obeying the rules.
5.Express the right hand side as a fraction reduced to its simplest form (Hint:a factor 16 will simplify).
6. Give the result as fraction or calculate its decimal value if that is what is asked.
Hope it helps.

Jul 30, 2009 | SoftMath Algebrator - Algebra Homework...

### Variables

Hello,
This calculator cannot handle symbolic algebra.
Use the rules to simplify the expressions: Get rid of the parentheses using distributivity od multiplication with respect to addition; group similar terms (terms with x, terms without x).
Hope it helps.

May 07, 2008 | Casio FX-115ES Scientific Calculator

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