(64/25)^ 3/2 = (25/64) ^ 3/2 (a^ n = 1/a^n) =(5²/8²) ^ 3/2 =5³/8³ =25/512 = 0.048… ...

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Byju's Answer

Standard VIII

Mathematics

Inter Conversion between Standard and Normal Forms

64 / 25-3 / 2

Question

${(\frac{64}{25})}^{\frac{- 3}{2}}$ Evaluate

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Solution

${(\frac{64}{25})}^{\frac{- 3}{2}}$ can be written as
${(\frac{8}{5})}^{2 \times \frac{- 3}{2}}$
${(\frac{5}{8})}^{3} = \frac{125}{512}$

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Similar questions

Evaluate: ${(\begin{matrix} \frac{64}{125} \end{matrix})}^{\frac{- 2}{3}} \div \frac{1}{(\frac{256}{625})^{\frac{1}{4}}} + (\begin{matrix} \frac{(\sqrt{25})}{\sqrt[3]{64}} \end{matrix})$

Q. Find the value of

{(\frac{64}{25})}^{- 3 / 2}

{(\frac{64}{125})}^{- 2 / 3} \div \frac{1}{{(256 / 625)}^{1 / 4}} + {(\frac{(\sqrt{25})}{\sqrt[3]{64}})}^{0} =

Q. Solve :

{(\frac{64}{125})}^{- 2 / 3} + \frac{1}{{(\frac{256}{625})}^{1 / 4}} + {(\frac{\sqrt{25}}{\sqrt[3]{64}})}^{0} = \frac{61}{16}

Q. Factorise :
A) X2 - 3x+ 2
B) 64-25r2+60rs-3xs2

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(6425)−32 Evaluate

(6425)−32can be written as (85)2×−32(58)3=125512

${(\frac{64}{25})}^{\frac{- 3}{2}}$ Evaluate

${(\frac{64}{25})}^{\frac{- 3}{2}}$ can be written as
${(\frac{8}{5})}^{2 \times \frac{- 3}{2}}$
${(\frac{5}{8})}^{3} = \frac{125}{512}$