Correct Answer:
A. m^(1/5) n^(−6/5)
Correct answer: m^(1/5) n^(−6/5). Multiply each exponent by 3/5: m has (1/3)(3/5) = 1/5 and n has (−2)(3/5) = −6/5.
Background: The rule is (aᵐ)ⁿ = aᵐⁿ.
- m^(1/5) n^(6/5): This option makes the exponent of n positive.
- m^(1/5) n^(−6/5)·n: This option adds an extra factor of n.
- m^(1/5) n^(1/5): This option does not multiply the exponent of n correctly.
Did you know? Multiply the outside power with each exponent inside.
Memory trick: Power outside multiplies inside.