Evaluate the given expressions- 27 1 - 3

The correct option is A 3 The value of 27^1/3 = (3^ 3 ) ^ 1/3 = 3 ^ 3× 1 / 3 #160; =3 ...

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Exponential Representation for Irrational Numbers

Evaluate the ...

Question

Evaluate the given expressions:
$27^{\frac{1}{3}}$

3

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\sqrt{3}

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9

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3^{1 / 3}

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Solution

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{(27)}^{- 1 / 3} \times (27)^{- 1 / 3} \times [27^{1 / 3} - 27^{2 / 3}]

Evaluate: ${(27)}^{- \frac{1}{3}} \times {(27)}^{- \frac{1}{3}} ⎡ ⎢ ⎣ 27^{\frac{1}{3}} - 27^{\frac{2}{3}} ⎤ ⎥ ⎦$

\frac{(0.3)^{\frac{1}{3}} {(\frac{1}{27})}^{\frac{1}{4}} (9)^{\frac{1}{6}} (0.81)^{\frac{2}{3}}}{(0.9)^{\frac{2}{3}} (3)^{- \frac{1}{2}} {(\frac{1}{3})}^{- 2} (243)^{- \frac{1}{4}}}

Simplify: $\frac{9^{\frac{1}{3} \times 27^{\frac{1}{2}}}}{3^{\frac{1}{6}} \times 3^{- \frac{2}{3}}}$

\frac{9^{\frac{1}{3}} \times 27^{\frac{1}{2}}}{3^{\frac{1}{6}} \times 3^{\frac{1}{3}}}

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