What is the correct simplification of the expression 9 over h to the power of negative 3?

Solution:

Given, the expression is 9 over h to the power of negative 3.

We have to write simplified expressions.

h to the power of negative 3 can be written as h^-3

9 over h to the power of negative 3 can be written as 9/h^-3

By negative property of exponents,

a^-n = 1/aⁿ

So, 1/h^-3 = h³

Now, 9/h^-3 = 9h³

Therefore, the simplified expression is 9h³.

Example:

Correct simplification of the expression 9 over h to the power of 3?

Solution:

Given, the expression is 9 over h to the power of 3.

We have to write simplified expressions.

h to the power of 3 can be written as h³

9 over h to the power of 3 can be written as 9/h^-3

By negative property of exponents,

a^-n = 1/aⁿ

So, 1/h³ = h^-3

Now, 9/h^-3 = 9h³

Therefore, the simplified expression is 9h³.

What is the correct simplification of the expression 9 over h to the power of negative 3?

Summary:

The correct simplification of the expression 9 over h to the power of negative 3 is 9h³.