Question

How do you write `7^2/7^-8` using only positive exponents?

Answer 1

`7^10`

Explanation:

Recall: three laws of indices:
`x^m xx x^n=x^(m+n)" and "x^m/x^n = x^(m-n)`
`1/x^-m= x^m`

`7^2/7^color(red)(-8) = 7^2 xx 7^color(red)(8) = 7^10`

OR

`7^2/7^-8 = 7^(2-(-8)) = 7^(2+8) = 7^10`