Find the value of 6425-3-2

As 64= 8^2,25=5^2 we get (8^2/5^2)^ 3/2=(8/5)^ 3= (5/8)^3=125/512 ...

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Byju's Answer

Standard VII

Mathematics

Types of Fractions

Find the valu...

Question

Find the value of ${(\frac{64}{25})}^{- 3 / 2}$

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Solution

As 64= $8^{2}, 25 = 5^{2}$
we get $(\frac{8^{2}}{5^{2}})^{- 3 / 2} = (\frac{8}{5})^{- 3} = (\frac{5}{8})^{3} = \frac{125}{512}$

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

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Find the value of (6425)−3/2

As 64=82,25=52we get(8252)−3/2=(85)−3=(58)3=125512

Find the value of ${(\frac{64}{25})}^{- 3 / 2}$

As 64= $8^{2}, 25 = 5^{2}$
we get $(\frac{8^{2}}{5^{2}})^{- 3 / 2} = (\frac{8}{5})^{- 3} = (\frac{5}{8})^{3} = \frac{125}{512}$