To simplify the expression 9 over h to the power of negative 3, we start by rewriting it in a more manageable form. The expression can be written as:
9 / (h-3)
When we encounter an exponent that is negative, we can use the property of exponents, which states that a-n = 1 / an. This means that we can turn our negative exponent into a positive one by taking the reciprocal.
Therefore:
9 / (h-3) = 9 * h3
This simplifies to:
9h3
In conclusion, the correct simplification of the expression 9 over h to the power of negative 3 is:
9h3
This result indicates that you can multiply 9 by the cube of h, showcasing how negative exponents can be managed through reciprocal relationships.