Question

do it
and explain it then I mark brainiest​

Answer 1

QUESTION:

$\frac{25 \times {5}^{2} \times {2}^{8} }{ {5}^{ 3} \times {5}^{4} \times {2}^{4} }$

ANSWER:

0.128 is the final answer after simplification (or) simply 16/125.

TO FIND:

$\frac{25 \times {5}^{2} \times {2}^{8} }{ {5}^{ 3} \times {5}^{4} \times {2}^{4} } = ??$

FORMULAE:

${x}^{m} \times {x}^{n} = {x}^{m + n} \\ \\ \frac{ {x}^{m}}{{x}^{n} } = {x}^{m - n}$

EXPLANATION:

$\frac{ {5}^{2} \times {5}^{2} \times {2}^{8} }{ {5}^{4 + 3} \times {2}^{4} } \\ \\ \frac{ {5}^{2 + 2} \times {2}^{8 - 4} }{ {5}^{7} } \\ \\ \frac{ {5}^{4} \times {2}^{4} }{ {5}^{7} } \\ \\ \frac{16}{ {5}^{7 - 4} } \\ \\ \frac{16}{ {5}^{3} } \\ \\ \frac{16}{125}$

0.128 is the final answer after simplification (or) simply 16/125.

Answer 2

First expand everything with powers and also 25

5*5*5*5*2*2*2*2*2*2*2*2/5*5*5*5*5*5*5*2*2*2*2

If you cancel eight fives and eight two’s you will get remaining four two’s and three fives
Like this

2*2*2*2/5*5*5
And the answer will be 16/25