?
$${\left( {64} \right)^{ - \frac{2}{3}}} \times {\left( {\frac{1}{4}} \right)^{ - 2}}$$ is equal to ?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& {\text{6}}{{\text{4}}^{ - \frac{2}{3}}} \times {\left( {\frac{1}{4}} \right)^{ - 2}} \cr
& = {\left( {{4^3}} \right)^{ - \frac{2}{3}}} \times {\left( {\frac{1}{4}} \right)^{ - 2}} \cr
& = {4^{ - 2}} \times {\left( {\frac{1}{4}} \right)^{ - 2}} \cr
& = {\left( {\frac{1}{4}} \right)^2} \times {\left( {\frac{1}{4}} \right)^{ - 2}} \cr
& = {\left( {\frac{1}{4}} \right)^{2 - 2}} \cr
& = {\left( {\frac{1}{4}} \right)^0} \cr
& = 1 \cr} $$
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