Question

Which of the following shows the correct steps to find the value of 27 to the power of 1 over 3?

A.)27 to the power of 1 over 3 equals 9 to the power of 3 to the power of 1 over 3 equals 9 to the power of 3 multiplied by 1 over 3 equals 9

B.)27 to the power of 1 over 3 equals 3 to the power of 9 to the power of 1 over 3 equals 3 to the power of 9 multiplied by 1 over 3 equals 3

C.)27 to the power of 1 over 3 equals 3 to the power of 4 to the power of 1 over 2 equals 3 to the power of 4 multiplied by 1 over 2 equals 9

D.)27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Answer 1

Answer:D

Explanation:

a^p/q

=q√a^p

Apply the same steps to 27^1/3

27^1/3

=³√27¹

=³√27

=3

Answer 2

27^1/3
=(3^3)^1/3
=(3^3)×1/3
=3, so your final answer is D.)27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3
Or
27^1/3=?
To find the answer, I will use one formula from Laws of Exponent
a^p/q
=q√a^p
Apply the same steps to 27^1/3
27^1/3
=³√27¹
=³√27
=3. Hope it help!