Evaluate: - $( 8^{0}+5^{-1}) \times[\frac{1}{5}]^{-2})$.

Given: $( 8^{0}+5^{-1}) \times[\frac{1}{5}]^{-2})$.

To do: To evaluate: - $( 8^{0}+5^{-1}) \times[\frac{1}{5}]^{-2})$.

Solution:

$( 8^{0}+5^{-1}) \times[\frac{1}{5}]^{-2})$

$=( 1+\frac{1}{5^1})\times\frac{1}{[\frac{1}{5}]^{2}}$   [$\because a^0=1,\ a^{-1}=\frac{1}{a}$]

$=\frac{6}{5}\times5^2$

$=6\times5^{2-1}$

$=6\times5$

$=30$

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Updated on: 10-Oct-2022

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