Question

Rewrite the rational exponent as a radical.

5 to the 3 over 4 power, to the 2 over 3 power

Answer 1

\(\large \left( 5^{\frac{3}{4}} \right)^{\frac{2}{3}} ?\)

Answer 2

yes

Answer 3

anyhow, keep in mind that \(\bf (a^n)^m\implies a^{n\cdot m}\qquad and\qquad a^{\frac{{\color{blue} n}}{{\color{red} m}}} \implies \sqrt[{\color{red} m}]{a^{\color{blue} n}} \qquad \qquad

\sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}}\)

Answer 4

thanks

Answer 5

thus \(\large \bf \left( 5^{\frac{3}{4}} \right)^{\frac{2}{3}}\implies 5^{\frac{3}{4}\cdot \frac{2}{3}}\implies 5^{\frac{{\color{blue}{ 3\cdot 2 }}}{{\color{red}{4\cdot 3 }}}}\)

Answer 6

so after you multiply the exponents do you put it back in that form at the top^