Question

a)b 256What are the values of a and b in the equation(4x[4x2- ?○ a-2, b-4○ a=-2, b-4○ a-2, b=-4○ a-2, b=-422aaaa0000C日

Answer 1

Hi.... your answer is below:

$\left( 4.x^{a} \right)^{b}=\dfrac{256}{x^{8}}\rightarrow 4^{b}x^{ab}=256x^{-8}\rightarrow 2^{2b}.\,x^{ab}=2^{8}.\,x^{-8}\rightarrow\\ \text{by comparison}\\ 2^{2b}=2^{8}\rightarrow 2b=8\rightarrow \boxed{b=4}\\ x^{ab}=x^{-8}\rightarrow x^{4a}=x^{-8}\rightarrow 4a=-8\rightarrow \boxed{a=-2}$

Thanks....