Question

3^-5/3^-2 becomes 1/3^5/1/3^2

the answer is 1/27, how did they get that? i need step by step to understand

Answer 1

If you divide one power with the same base by another power of the same base,

keep the base and subtract the exponents, so ....

3^(-5) / 3^(-2)
= 3^(-5+2)
= 3^-3
= 1/3^3
= 1/27