$(243)^{\frac{3}{5}}$ = ___

Open in App

Solution

$(243)^{\frac{3}{5}}$ = $(3^{5})^{\frac{3}{5}}$

$∵ ((a)^{m})^{n} = (a)^{(m \times n)}$

$\Rightarrow 3^{3}$ = 27

Suggest Corrections

Similar questions

$(243)^{\frac{3}{5}}$ = ___

\frac{(25)^{3 / 2} \times (243)^{3 / 5}}{(16)^{5 / 4} \times 8^{4 / 3}}

$\frac{{(243)}^{\frac{n}{5}} \times 3^{2 n + 1}}{9^{n} \times 3^{n - 1}} = ?$

(16^{- 1 / 5})^{5 / 2}

\sqrt[5]{{(32)}^{- 3}}

\sqrt[3]{(343)^{- 2}}

(0.001)^{1 / 3}

\frac{(25)^{3 / 2} \times (243)^{3 / 5}}{(16)^{5 / 4} \times (8)^{4 / 3}}

{(\frac{\sqrt{2}}{5})}^{8} \div {(\frac{\sqrt{2}}{5})}^{13}

{(\frac{5^{- 1} \times 7^{2}}{5^{2} \times 7^{- 4}})}^{7 / 2} \times {(\frac{5^{- 2} \times 7^{3}}{5^{3} \times 7^{- 5}})}^{- 5 / 2}

2433

Join BYJU'S Learning Program