To simplify the expression 9 over h to the power of negative 3, we start by rewriting it mathematically:
We have:
9 / h-3
According to the rules of exponents, when we have a negative exponent, we can convert it to a positive exponent by taking the reciprocal of the base. Therefore:
h-3 = 1 / h3
This means our original expression can be rewritten as:
9 / (1 / h3)
To divide by a fraction, we multiply by its reciprocal. So we have:
9 × h3 = 9h3
Thus, the correct simplification of the expression 9 over h to the power of negative 3 is:
9h3