81.3k views
2 votes
9^2/9^-4 using a single positive exponent

User Drizin
by
5.4k points

1 Answer

2 votes

Answer:

9⁶

Explanation:


(9^2)/(9^(-4)) = 9^2 9^(4) = 9 ^ {(2 + 4)} = 9^6

Reciprocal of a number raised to exponent is the same as the number raised to the negative of the original exponent

So

(1)/(9^(-4)) \text{ becomes } 9^4

User Sertsedat
by
4.2k points