The correct option is A 15 As given (15)^2/3×(15)^1/3 = ( 15 )^23+13 = ( 15 )^33 =15 ...

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Exponential Representation for Irrational Numbers

Evaluate 15...

Question

Evaluate ${(\frac{1}{5})}^{2 / 3} \times {(\frac{1}{5})}^{1 / 3}$

\frac{1}{5}

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\frac{1}{25}

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5

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25

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Solution

The correct option is A $\frac{1}{5}$
As given ${(\frac{1}{5})}^{2 / 3} \times {(\frac{1}{5})}^{1 / 3}$

$= {(\frac{1}{5})}^{\frac{2}{3} + \frac{1}{3}}$

$= {(\frac{1}{5})}^{\frac{3}{3}}$
$= \frac{1}{5}$

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Similar questions

5^{- 4} \times (125)^{\frac{5}{3}} \div (25)^{\frac{- 1}{2}}

{8 P}^{3} + \frac{12}{5} P^{2} + \frac{6}{25} P + \frac{1}{125}

P = 1

5 \frac{1}{3}

5 \frac{2}{3}

\div

\frac{1}{3}

\div

x + 3

\frac{1}{5}

\div

1 \frac{1}{5}

= 7

Evaluate:

$\frac{1}{2} (\frac{2 y + 3}{3}) + \frac{1}{2} (\frac{17 - 3 y}{52}) = - 3 y - \frac{5}{2} + \frac{2 y + 14}{5}$

(25)^{1 / 3} \times 5^{1 / 3}

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