Question

Which law of exponents is used to justify the equation x^-3 × x^-2 = x^-6?

(A) Product rule
(B) Quotient rule
(C) Power of a power rule
(D) Zero exponent rule

Answer 1

The law of exponents used to justify the equation x^-3 x x^-2 = x^-6 is the product rule. When multiplying two numbers with the same base but different exponents, add the exponents together.

Step-by-step explanation:

The law of exponents used to justify the equation x^-3 x x^-2 = x^-6 is the product rule. The product rule states that when multiplying two numbers with the same base but different exponents, add the exponents together. In this case, x^-3 x x^-2 becomes x^-5. So the equation x^-3 x x^-2 = x^-6 is incorrect.