Question

Brian argues that r' is equal to the cubed root of r. What previously established rule supports Brian's argument?

A. the rule about the behavior of fractional exponents

B. the rule about the behavior of positive bases

C. the rule about the behavior of square roots

D. the rule about the behavior of negative bases

Answer 1

The rule that supports Brian's argument is the rule about the behavior of fractional exponents. Brian is correct in stating that r' is equal to the cube root of r.

Step-by-step explanation:

The rule that supports Brian's argument is the rule about the behavior of fractional exponents. When we have an expression with a fractional exponent, such as r'1/3', it is equivalent to taking the cube root of r. Just like how 'x2' is equivalent to the square root of x, we can re-express it as a fractional power. Therefore, Brian's argument is correct.