Question

How do you simplify `\frac{6^{- 2} a^{4}}{6^{- 3} a^{- 2}}`?

Answer 1

`6a^6`

Explanation:

A first step in simplify a term is to attend to the negative indices.

Recall: `x^-m = 1/x^m and 1/x^-n = x^n`

`\frac{6^color(red)(- 2) a^{4}}{6^color(blue)(-3)a^color(lime)(-2)`

=`\frac{6^3 a^{4}a^2}{6^2`

=`6a^6`