Question

(3^n*3^2)^4=3^28
Enter the value of n for the equation
N= ?

Answer 1

Hello! And thank you for your question!

Use Pemdas to get

3^(n+2)*4=3^28

Rewrite the equation:

3^4(n+2) = 3^28

Cancel the base of 3:

4(n + 2) = 28

Then divide 4 on both sides:

2 + n = 28/4

Simplify 28/4:

2 + n = 7

Subtract 2 on both sides:

n = 7 - 2

Finally simplify 7 - 2:

n = 5

Final Answer:

n = 5