Question

What's the answer of..

`\frac{4a {}^(2) }{16a {}^(5) \: b {}^(2) } b {}^(5)`

Answer 1

`\large\boxed{(1)/(4)a^(-3)b^3=(b^3)/(4a^3)}`

Explanation:

`(4a^2b^5)/(16a^5b^2)\qquad\text{use}\ (x^n)/(x^m)=x^(n-m)\\\\=(4)/(16)a^(2-5)b^(5-2)=(1)/(4)a^(-3)b^3\qquad\text{use}\ x^(-n)=(1)/(x^n)\\\\=(b^3)/(4a^3)`