Question

Lola says these two expressions have the same value.

Expression A
Expression B
Left-bracket (StartFraction a Over b EndFraction) Superscript negative 4 Baseline Right-bracket Superscript 0
Left-bracket (StartFraction a Over b EndFraction) Superscript 0 Baseline Right-bracket Superscript negative 4

Which explains whether Lola is correct?
Lola is correct because each expression has a value of 0.
Lola is correct because each expression has a value of 1.
Lola is not correct because the value of expression A is 1 and the value of expression B is (StartFraction b Over a EndFraction) Superscript 4.
Lola is not correct because the value of expression A is (StartFraction b Over a EndFraction) Superscript 4 and the value of expression B is 1.

Answer 1

Choose: "Lola is correct because each expression has a value of 1."

Explanation: For Expression A, [(a/b)^(-4)]^0 = 1 because anything (nonzero) to the 0 power is 1. For Expression B, [(a/b)^0]^(-4) = 1^(-4) = 1 because (a/b)^0 = 1 and 1 to any power is 1. (This assumes a and b are nonzero so the intermediate powers are defined.)