Question

Simplify the following:
​

Answer 1

Answer:

$\frac{ {4}^{ - 3} \times {a}^{ - 5} \times {b}^{ - 4} }{{4}^{ - 5} \times {a}^{ - 8} \times {b}^{3}}= {4}^{2} \times {a}^{3} \times {b}^{ - 7}$

Step-by-step explanation:

$\frac{ {4}^{ - 3} \times {a}^{ - 5} \times {b}^{ - 4} }{{4}^{ - 5} \times {a}^{ - 8} \times {b}^{3}} \\ = \frac{ { (\frac{1}{4} )}^{3} \times {( \frac{1}{a}) }^{5} \times { (\frac{1}{b} )}^{4} }{{ (\frac{1}{4} )}^{5} \times {( \frac{1}{a}) }^{8} \times {b}^{3} } \\ = \frac{ \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{b} \times \frac{1}{b} \times \frac{1}{b} \times \frac{1}{b}}{\frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times b \times b \times b} \\ = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{a} \times \frac{1}{b} \times \frac{1}{b} \times \frac{1}{b} \times \frac{1}{b} \times 4 \times 4 \times 4 \times 4 \times 4 \times a \times a \times a \times a \times a \times a \times a \times a \times \frac{1}{b} \times \frac{1}{b} \times \frac{1}{b} \\ = 4 \times 4 \times a \times a \times a \times \frac{1}{b} \times \frac{1}{b} \times \frac{1}{b} \times \frac{1}{b} \times \frac{1}{b} \times \frac{1}{b} \times \frac{1}{b} \\ = {4}^{2} \times {a}^{3} \times {b}^{ - 7}$

Answer 2

Answer:

after the simplified the answer will be 16

if it is helpful for you then mark me brainlist