Simplify using exponent rules. Leave answer in exponential form.

Question

(x^4)(x^6) / x^3

Answer 1

Using the exponent rule for multiplication, we add the exponents when multiplying variables with the same base. Therefore: (x^4)(x^6) = x^(4+6) = x^10.

Using the exponent rule for division, we subtract the exponent in the denominator from the exponent in the numerator. Therefore: x^10 / x^3 = x^(10-3) = x^7.

Therefore, the simplified form of (x^4)(x^6) / x^3 is x^7.