Question

Evaluate 4^1/2×9^-1/2 divided by (125)^-1/3 ×(2^5)^-3/5​

Answer 1

Answer:

$=\frac{48}{5}$

Step-by-step explanation:

$\frac{4^1}{2\times \frac{9^{-\frac{1}{2}}}{125^{-\frac{1}{3}}}\times \left(2^5\right)^{-\frac{3}{5}}}$

$=\frac{4}{2\times \frac{9^{-\frac{1}{2}}}{125^{-\frac{1}{3}}}\times \left(2^5\right)^{-\frac{3}{5}}}$

$=\frac{2\times \:2}{2\times \frac{9^{-\frac{1}{2}}}{125^{-\frac{1}{3}}}\times \left(2^5\right)^{-\frac{3}{5}}}$

$=\frac{2}{\frac{9^{-\frac{1}{2}}}{125^{-\frac{1}{3}}}\times \left(2^5\right)^{-\frac{3}{5}}}$

$=\frac{48}{5}$

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