Find :
$(i)$ $9^{\frac{3}{2}}$
$(ii)$ $32^{\frac{2}{5}}$
$(iii)$ $16^{\frac{3}{4}}$
$(iv)$ $125^{\frac{-1}{3}}$
Find :
$(i)$ $9^{\frac{3}{2}}$
$(ii)$ $32^{\frac{2}{5}}$
$(iii)$ $16^{\frac{3}{4}}$
$(iv)$ $125^{\frac{-1}{3}}$
$(i)$ $9^{\frac{3}{2}}=\left(3^{2}\right)^{\frac{3}{2}}=3^{2 \times \frac{3}{2}}=3^{3}=27$
$(ii)$ $32^{\frac{2}{5}}=\left(2^{5}\right)^{\frac{2}{5}}=2^{5 \times \frac{2}{5}}=2^{2}=4$
$(iii)$ $16^{\frac{3}{4}}=\left(2^{4}\right)^{\frac{3}{4}}=2^{4 \times \frac{3}{4}}=2^{3}=8$
$(iv)$ $(125)^{-\frac{1}{3}}=\left(5^{3}\right)^{-\frac{1}{3}}=5^{3 \times\left(-\frac{1}{3}\right)}=5^{-1}=\frac{1}{5}$
Similar Questions
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