Question

The expression (x^n) (x^5)^3 is equivalent to x^30. What is the value of n?

Answer 1

Answer:

n = 15

Step-by-step explanation:

(x^n)(x^5)^3 = x^30

(x^n)(x^15) = x^30

x ^ (n+15) = x^30

n + 15 = 30

n = 15

To do the question, you need to know the exponent rules, which are short cuts to be able to do exponent work.

If you raise a power to a power, then times the exponents.

If you are multiplying two terms with the same base (in this case, x; the base is the large font bottom number) then ADD the exponents.