Question

81^1/2 / 3^-1 = A. 9 B. 3 C.(81/3)^-1/2 D. 27

Answer 1

Answer:C

Step-by-step explanation:

81^½÷3^-1=√81÷(1/3)

=9÷3=3

Answer 2

The answer is D.

When something is set to a fraction of a power, it makes the base a square root. And since 81 is going to the power of 1/2 it is just squaring it. The square root of 81 is 9.

Next, anything to a negative power turns the base number into a fraction, so 3^-1 turns into 1/3^1 or 1/3.

Finally, you solve: 9/ 1/3. Fractions take the reciprocal of themselves when they are being divided so the equation is more like 9*3. And 9*3 is 27. So the answer is D, 27.

Hope this helps!