Question

The value of 2^-5*64^2/3 is:

Answer 1

Answer:

1/2

Step-by-step explanation:

$2^{-5}*64^{\frac{2}{3}}\\=2^{-5}*(4^3)^{\frac{2}{3}}\\=2^{-5}*4^{(3*\frac{2}{3})}\\=2^{-5}*(2^2)^2\\=2^{-5}*2^{(2*2)}\\=2^{-5}*2^4\\=2^{(-5+4)}\\=2^{-1}\\=\frac{1}{2}$

Hope it helps!

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