Question

Which expression is equivalent to 5y⁻³ ?
a. 1/125y³
b. 1/5y³
c. 5/y³
d. 125/y³

Answer 1

B.

1/5y^3-when you take a power from the denominator to the numerator, it always becomes negative

Answer 2

The expression equivalent to 5y^-3 is 125/y^3.

Step-by-step explanation:

The expression equivalent to 5y-3 is option d. 125/y3.

To understand why, let's break it down:

1. y-3 can be written as 1/y3, because any number raised to the power of -n is equal to 1 divided by that number raised to the power of n.
2. Therefore, 5y-3 is the same as 5(1/y3), which can be simplified as 5/y3.
3. Finally, we can rewrite 5/y3 as 5 * (1/y3) = 5 * (1/y3) * (125/125) = 125/y3.