Question

Solve for n nn. ( 3 3 ) 2 = n 6 (3 3 ) 2 =n 6 left parenthesis, 3, cubed, right parenthesis, squared, equals, n, start superscript, 6, end superscript n = n=n, equals

Answer 1

Answer:

3

Step-by-step explanation:

given the expression (3³)² = n⁶, we are to find the value of n.

To do that we will apply one of the laws of indices shown

$(a^m)^n = a^{mn}$

Applying the law to the question

(3³)² = n⁶

$3^{3*2} = n^6$

$3^6 = n^6$

Since the power of both values at both sides are equal, they will cancel out to give;

$3 = n$

Hence the value of n is 3