Question

Simplify y to the negative fifth power over x to the negative third power.

x cubed over y to the fifth power
(xy)−8
1 over quantity x times y squared end quantity
x3y5

Answer 1

X cubed over y to the fifth power.

Explanation:

To simplify the expression y to the negative fifth power over x to the negative third power you first have to make the exponent positive.

Y to the negative fifth power becomes 1 over y to the fifth power, and x to the negative third power becomes 1 over x cubed.

Rewrite the expression as 1 over y to the fifth power divided by 1 over x cubed.

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 1 over x cubed is x cubed over 1. The expression becomes 1 over y to the fifth power times x cubed over 1.

The numerator becomes x cubed and the denominator becomes y to the fifth power.

The correct answer is x cubed over y to the fifth power.