Question

Evaluate :

(81)7/4( Evaluate :(81)7/4​

Answer 1

$\underline{\textbf{Given:}}$

$\displaystyle\mathsf{(81)^\frac{7}{4}}$

$\underline{\textbf{To evaluate:}}$

$\displaystyle\mathsf{(81)^\frac{7}{4}}$

$\underline{\textbf{Solution:}}$

$\underline{\textsf{Concept used:}}$

$\boxed{\mathsf{(a^m)^n=a^{mn}}}$

$\mathsf{Consider,}$

$\displaystyle\mathsf{(81)^\frac{7}{4}}$

$\displaystyle\mathsf{=(3^4)^\frac{7}{4}}$

$\displaystyle\mathsf{=3^{4{\times}\frac{7}{4}}}$

$\mathsf{=3^7}$

$\mathsf{=2187}$

$\underline{\textbf{Find more:}}$

If 129/2000=129/2m×5n find the value of m and n

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