To multiply exponents with the same base, you can add the exponents.
2^(1/3) * 8^(1/4)
= 2^(1/3) * (2^3)^(1/4)
= 2^(1/3) * 2^(3/4)
= 2^(1/3 + 3/4)
= 2^(4/12 + 9/12)
= 2^(13/12)
Therefore, the answer is 2^(13/12), which is option C.
use the properties of exponents to perform the following operation: 2^1/3 • 8^1/4
O 16^1/12
O 16^2/7
O 2^13/12
O 2^1/4
O 2^2/7
1 answer