Use the properties of exponents to perform the following operation: 2^1/3⋅8^1/4

(1 point)
Responses

2^1/4

16^1/12

2^13/12

2^2/7

16^2/7

1 answer

To perform this operation, we can use the property of exponents that states: (a^m)(b^n) = (ab)^(m+n).

Using this property, we can rewrite the expression as: 2^(1/3) * 8^(1/4) = (2*8)^(1/3 + 1/4)

Simplifying further, we have: (16)^(4/12 + 3/12) = (16)^(7/12)

Therefore, the answer is 16^(7/12).