So here are a few things about exponents that you need to know:
- Powering a power: [tex](x^m)^n=x^{m*n}[/tex]
- Fractional exponent to radical: [tex]x^{\frac{m}{n}}=\sqrt[n]{x^m}[/tex]
For this, convert the fractional exponent to radical form as such:
[tex](3p^3q)^{\frac{3}{4}}=\sqrt[4]{(3p^3q)^3}=\sqrt[4]{3^3p^{3*3}q^{1*3}}=\sqrt[4]{27p^{9}q^{3}}[/tex]
Your final answer is [tex]\sqrt[4]{27p^{9}q^{3}}[/tex] , or B.
