Question

What is the value of​ n?
9.6 x 10 to the power of 7=(3x10 to the power of 4) (3.2 x 10 to the power of n)

Answer 1

Multiply the coefficients: 3 × 3.2 = 9.6, so the right side is 9.6 × 10^(4+n).
Set exponents equal: 10^7 = 10^(4+n) ⇒ 7 = 4 + n ⇒ n = 3.