Solve: $9^{\frac{3}{2}}-3 \times 5^{0}-( \frac{1}{81})^{-\frac{1}{2}}$.

Given: $9^{\frac{3}{2}}-3 \times 5^{0}-( \frac{1}{81})^{-\frac{1}{2}}$.

To do: To solve: $9^{\frac{3}{2}}-3 \times 5^{0}-( \frac{1}{81})^{-\frac{1}{2}}$.

Solution:

$9^{\frac{3}{2}}-3 \times 5^{0}-( \frac{1}{81})^{-\frac{1}{2}}$

$=( 3^2)^{\frac{3}{2}}-3 \times 1-( \frac{1}{3^4})^{-\frac{1}{2}}$

$=3^{2\times\frac{3}{2}}-3-( 3^{-4})^{-\frac{1}{2}}$

$=3^3-3-3^{-4\times-\frac{1}{2}}$

$=3^3-3-3^2$

$=27-3-9$

$=15$

Thus, $9^{\frac{3}{2}}-3 \times 5^{0}-( \frac{1}{81})^{-\frac{1}{2}}=15$.

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Updated on: 10-Oct-2022

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