(a)[2]
Simplify the expression $\left(\dfrac{x^2}{4}\right)^{\frac{3}{2}}$.
(b)[4]
Given $16^x \times \left(\dfrac{1}{2}\right)^x = 4^{x+3}$, find $x$.
Mathematics 0580 · IGCSE · Indices I
Mathematics 0580 · IGCSE · Indices I
Simplify the expression $\left(\dfrac{x^2}{4}\right)^{\frac{3}{2}}$.
Given $16^x \times \left(\dfrac{1}{2}\right)^x = 4^{x+3}$, find $x$.