Simplify the Expression: a⁸/a Using Exponent Rules

Insert the corresponding expression:

a8a= \frac{a^8}{a}=

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Step-by-step video solution

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00:00 Simply
00:03 Any number to the power of 1 equals itself
00:08 Let's use the formula for dividing powers
00:10 Any number (A) to the power of (N) divided by the same base (A) to the power of (M)
00:13 equals the number (A) to the power of the difference of exponents (M-N)
00:16 Let's use this formula in our exercise
00:18 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Insert the corresponding expression:

a8a= \frac{a^8}{a}=

2

Step-by-step solution

To solve the expression a8a \frac{a^8}{a} , we can use the Power of a Quotient Rule for Exponents. According to this rule, when dividing like bases, we subtract the exponents.


The general formula for this is:


  • bmbn=bm−n \frac{b^m}{b^n} = b^{m-n}

For the given expression:


  • m=8m = 8
  • n=1n = 1

Now, applying the formula:


  • a8a=a8−1=a7 \frac{a^8}{a} = a^{8-1} = a^7

Therefore, the solution to the question is:


a^7

3

Final Answer

a7 a^7

Practice Quiz

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\( 112^0=\text{?} \)

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