Simplify the Expression: a⁸/a Using Exponent Rules

Question

Insert the corresponding expression:

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

Video Solution

Solution Steps

00:00 Simply
00:02 Every number is actually to the power of 1
00:05 We will use this formula in our exercise, and raise to the power of 1
00:08 According to exponent laws, division of exponents with equal bases (A)
00:12 equals the same base (A) to the power of the difference of exponents (M-N)
00:15 We will use this formula in our exercise
00:18 And this is the solution to the question

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

Answer

a7 a^7

More Questions

Related Subjects

Division of Exponents with the Same Base

Question Types

Power of a Quotient Rule for Exponents: Applying the formula Power of a Quotient Rule for Exponents: Variable in the base of the power