Simplify

Question:

Simplify $(32)^{\frac{1}{5}}+(-7)^{0}+(64)^{\frac{1}{2}}$

 

Solution:

$(32)^{\frac{1}{5}}+(-7)^{0}+(64)^{\frac{1}{2}}=\left(2^{5}\right)^{\frac{1}{5}}+1+\left(2^{6}\right)^{\frac{1}{2}}$

$=2+1+2^{3}$

$=2+1+8$

$=11$

Hence, $(32)^{\frac{1}{5}}+(-7)^{0}+(64)^{\frac{1}{2}}=11$

 

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