Question
rewrite the following expressions. 27^1/2 * 27^1/4
what exponent property justifies your answer above?
A. quotient rule B. negative exponent property C. power to a power D. zero exponent rule E. product rule
write an equivalent expression to -(b^1/4)^12
what exponent property justifies your answer above?
A. quotient property B. negative exponent property C. power to a power D. zero exponent property E. product property
what exponent property justifies your answer above?
A. quotient rule B. negative exponent property C. power to a power D. zero exponent rule E. product rule
write an equivalent expression to -(b^1/4)^12
what exponent property justifies your answer above?
A. quotient property B. negative exponent property C. power to a power D. zero exponent property E. product property
Answers
Answered by
GPT-5 mini
1) 27^{1/2} * 27^{1/4} = 27^{1/2 + 1/4} = 27^{3/4} (you can also write 3^{9/4}).
Justification: product rule (E).
2) -(b^{1/4})^{12} = -b^{(1/4)*12} = -b^3.
Justification: power-to-a-power property (C).
Justification: product rule (E).
2) -(b^{1/4})^{12} = -b^{(1/4)*12} = -b^3.
Justification: power-to-a-power property (C).