\frac{ {5}^( - 2) * 9} { {2}^(4) * {4}^( - 3) } simplify and answer with exponents ​

Question

`\frac{ {5}^( - 2) * 9} { {2}^(4) * {4}^( - 3) }`

simplify and answer with exponents

​

Answer 1

36(5)^-2.

Explanation:

5^-2 * 9

= 9(5)^-2

2^4 * 4 ^ -3

= 2^4 + (2^2)^-3

= 2^4 * 2^-6

= 2^-2

So the answer is

9(5^)-2 / 2^-2

= 9(5)^-2 * 2^2

= 4*9(5)^-2

= 36(5)^-2.