Question

7. Which Law of Exponents is used to write (5ab)³ as the equivalent expression 125a³b³?

A Power of a Product Law
B Power of a Quotient Law
C Power of a Power Law
D Product of a Power Law

Answer 1

C.

Explanation:

The Law of Exponents used to write (5ab)³ as the equivalent expression 125a³b³ is:

C. Power of a Power Law

The Power of a Power Law states that when you raise an exponential expression to another exponent, you multiply the exponents together. In this case, you are raising the expression (5ab) to the third power, so you multiply the exponents 3 and 1 that correspond to the 'a' and 'b' respectively, resulting in a³b³.