Prove: \[ 9^{3/2} – 3\times 5^0 – (1/81)^{-1/2} = 15 \]

Solution

\[ 9^{3/2} = (3^2)^{3/2} = 3^3 = 27 \]

\[ 5^0 = 1 \]

\[ (1/81)^{-1/2} = (3^{-4})^{-1/2} = 3^2 = 9 \]

\[ = 27 – 3\times 1 – 9 \]

\[ = 27 – 3 – 9 \]

\[ = 15 \]

Hence Proved

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