Question

What is the expression in radical form? (3p^3q)^3/4

Answer 1

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\ (3p^3q)^{\frac{3}{4}}\implies \sqrt[4]{(3p^3q)^3}\implies \sqrt[4]{3^3p^{3\cdot 3}q^3}\implies \sqrt[4]{27p^9q^3} \\\\\\ \sqrt[4]{27p^{4+4+1}q^3}\implies \sqrt[4]{27p^4p^4p^1q^3}\implies pp\sqrt[4]{27pq^3}\implies p^2\sqrt[4]{27pq^3}$

Answer 2

Look to the sky and close your eyes and wish