What is the value of $$m$$ in the equation below?

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What is the value of $$m$$ in the equation below?

by Gmat_mission » Wed Feb 23, 2022 8:56 am

00:00

A

B

C

D

E

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What is the value of $$m$$ in the equation below?

$$\left(\dfrac15\right)^m\cdot \left(\dfrac14\right)^{24}=\dfrac1{2(10)^{47}}$$

A) 23

B) 24

C) 46

D) 47

E) 48