The value of $(15)^{4}$ is equal to:

(15)^{4} = 3^{2} {.5}^{2}

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(15)^{4} = 3^{4} {.5}^{4}

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(15)^{4} = 3^{3} {.5}^{3}

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(15)^{4} = 3^{2} {.5}^{3}

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Solution

The correct option is B $(15)^{4} = 3^{4} {.5}^{4}$
We need to find value of $(15)^{4}$
It can be written as $(15)^{4} = (3 \times 5)^{4}$
$= 3^{4} \times 5^{4}$ ....Using law $(a b)^{m} = a^{m} . b^{m}$
Hence, option B is correct.

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Similar questions

Which of the following is area of a circle?

(a) 154 m

(b) 154 sq. m

\sqrt{15612 + \sqrt{154 + \sqrt{225}}}

\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})

\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})

(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})

\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})

The value of the given expression $(284 \times 116) - (246 \times 154)$ is equal to $= 4940$

\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}

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