What is the simplified expression for 5^-3 •2^2 • 5^6 / 2^3 •5^2 ?

Question

asked Mar 23, 2019 35.5k views

2 Answers

Rich McCluskey · Answer 1 · 2019-03-26T15:58:51+0000

Answer:

Explanation:

1. You have the following expression given in the problem above:

$\frac{(5^(-3))(2^(2))(5^(6))} {(2^(3))(5^(2))}$

2. You must apply the exponents properties, as following:

- To multiply powers that has the same bases, add the exponents of the bases that are equal:

$\frac{(5^((-3+6)))(2^(2))} {(2^(3))(5^(2))}=\frac{(5^(3))(2^(2))} {(2^(3))(5^(2))}$

- To divide powers that has the same bases, you must substract the exponents of the bases that are equal:

$\frac{5^((3-2)))} {2^((3-2))}=(5)/(2)$

3. Therefore, the answer is
(5)/(2)