The value of 32243 -3-5 is -

The correct option is A 278 We need to find value of #160; (32243 )^ 3/5 It can be written as, (2^53^5)^ 3/5 ⇒ (32)^3 = 278 ...

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Standard VIII

Mathematics

Powers with Negative Exponents

The value of ...

Question

The value of ${(\frac{32}{243})}^{- 3 / 5}$ is _____.

\frac{27}{8}

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\frac{8}{27}

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\frac{16}{27}

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\frac{27}{16}

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Solution

The correct option is A $\frac{27}{8}$
We need to find value of ${(\frac{32}{243})}^{- 3 / 5}$
It can be written as,
${(\frac{2^{5}}{3^{5}})}^{- 3 / 5}$
$\Rightarrow {(\frac{3}{2})}^{3} = \frac{27}{8}$

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Similar questions

Q. The value of

\frac{18^{3} + 7^{3} + 3 \cdot 18 \cdot 7 \cdot 25}{3^{6} + 6 \cdot 243 \cdot 2 + 15 \cdot 181 \cdot 4 + 20 \cdot 27 \cdot 8 + 15 \cdot 9 \cdot 16 + 6 \cdot 3 \cdot 32 + 64}

Find the value of
$\frac{(18^{3} + 7^{3} + 3 \cdot 18 \cdot 7 \cdot 25)}{3^{6} + 6 \cdot 243 \cdot 2 + 15 \cdot 81 \cdot 4 + 20 \cdot 27 \cdot 8 + 15 \cdot 9 \cdot 16 + 6 \cdot 3 \cdot 32 + 64}$

4, \frac{8}{3}, \frac{16}{9}, \frac{32}{27} . .

is a

Q. The value of

3^{1 / 4} {.9}^{1 / 8} {.27}^{1 / 16} {.81}^{1 / 32} . . . . . . . . . .,

upto infinity is:

1, 1, 1, 2, 4, 8, 3, 9, 27, 4, 16, 32

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The value of (32243)−3/5 is _____.

The correct option is A 278We need to find value of (32243)−3/5It can be written as,(2535)−3/5⇒(32)3=278

The value of ${(\frac{32}{243})}^{- 3 / 5}$ is _____.

The correct option is A $\frac{27}{8}$
We need to find value of ${(\frac{32}{243})}^{- 3 / 5}$
It can be written as,
${(\frac{2^{5}}{3^{5}})}^{- 3 / 5}$
$\Rightarrow {(\frac{3}{2})}^{3} = \frac{27}{8}$