Question

If a^b=x, what is a^(b+2)?

Answer 1

$\bf \boxed{a^b=x}\implies \sqrt[b]{a^b}=\sqrt[b]{x}\implies \boxed{a=\sqrt[b]{x}}\\\\ -------------------------------\\\\ a^{b+2}\implies a^b\cdot a^2\implies \boxed{x}\cdot \left( \boxed{\sqrt[b]{x}} \right)^2\implies x\cdot \sqrt[b]{x^2}\implies x\sqrt[b]{x^2}$