Maths / Exponents and Power / Statement Sums Involving Exponent and Power

QUESTION
 

Find the values of n in the following: large (2/3)^{10}times((3/2)^2)^5 = (2/3)^{2n-2}

OPTIONS
A. 

1

B. 

0

C. 

2

D. 

3

Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

large (2/3)^{10}times((3/2)^2)^5 = (2/3)^{2n-2}

large =(2/3)^{10}times(3/2)^1^0 = (2/3)^{2n-2}

large =(2/3)^{10}times(2/3)^-^1^0 = (2/3)^{2n-2}

large =(2/3)^{0}= (2/3)^{2n-2}

When bases are same powers are equated

0 = 2n - 2

2n = 2

n = 1

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