Question

Write ⁴ √81⁵ in exponential form.
A. 81⁹
B. 81 ⁵/⁴
C. 81⁴/⁵

Answer 1

To write ⁴ √81⁵ in exponential form, we need to first understand that the index/exponent of the radical (√) represents the reciprocal of the power. The correct answer is A. 81⁵/⁴.

Step-by-step explanation:

To write ⁴ √81⁵ in exponential form, we need to first understand that the index/exponent of the radical (√) represents the reciprocal of the power. So if we have a fourth root, the exponent/index should be 1/4.

Now let's rewrite ⁴ √81⁵ using exponential form:

⁴ √81⁵ = (81⁵)^(1/4)

Therefore, the correct answer is A. 81⁵/⁴.