Question

Given that 64 to the power of p = 1/4, find the value of p

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Answer 1

Answer:

Step-by-step explanation:

$64^{p}=\dfrac{1}{4}\\\\\\(4^{3})^{p}=4^{-1}\\\\4^{3p}=4^{-1}$

Same base. So, 3p = -1            

                           p = -1/3