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Anjali has to find the unknown power $n$ in the equation:
$(3^{n} x 3^{4}) / 3^{2} = 3^{9}$
Work through the laws of exponents to find $n$ .

Class 7Laws of ExponentsNumber System

A7
B6
C14
D8

Step-by-Step Solution

Left side:

(3^{n} x 3^{4}) / 3^{2} = 3^{n + 4} / 3^{2} = 3^{n + 4 - 2} = 3^{n + 2}

. Setting

n + 2 = 9

gives

n = 7

.

Answer: A) 7

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