Simplify 6^7/6^5 leaving your answer in index form

To Simplify 6^7/6^5 leaving the  answer in index form will be 6²

To write numbers in index form simply means to express the number as exponent or single power.

Using this formula to express it as a single power

a^m÷a^n =a^(m-n)

Where:

a^m=6^7

a^n=6^5

Let plug in the formula

6^(7-5)

=6²

Inconclusion To Simplify 6^7/6^5 leaving the  answer in index form will be 6²

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6²

Step-by-step explanation:

Using the rule of exponents

= , thus

= = 6²

associative property of multiplication