Number System Practice Test 2

Question : 27 of 40

Marks: +1, -0

What should come in place of the question mark (?) in the following equation?

47^{7.5}÷47^{3/2}×47^{-3}=(√47)^{?}

Solution:

47^{7.5}÷47^{3/2}×47^{-3}=(√47)^{?}

Let ? = x
then

47^{15/2}÷47^{3/2}×(47)^{-3}=( 47)^{x/2}

⇒(47)^{15/2-3/2-3}=(47)^{x/2}

⇒(47)^{6/2}=(47)^{x/2}

⇒x=6

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