Question

5Ctimes%20%20%7B4%7D%5E%7B%20-%203%7D%20%7D%20" id="TexFormula1" title=" \frac{ {5}^{ - 2} \times 9} { {2}^{4} \times {4}^{ - 3} } " alt=" \frac{ {5}^{ - 2} \times 9} { {2}^{4} \times {4}^{ - 3} } " align="absmiddle" class="latex-formula">
simplify and answer with exponents

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Answer 1

Answer:

36(5)^-2.

Step-by-step 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.