Write each expression using a single exponent.
h14/h5
A. h-9
B. 1/h9
C. h19
D. h9
D. h9
To write the expression h14/h5 using a single exponent, we can subtract the exponents of h.
The exponent of h in the numerator is 14, and the exponent of h in the denominator is 5.
To subtract the exponents, we have 14 - 5, which equals 9.
Therefore, the expression h14/h5 can be written as h^9.
So, the answer is option D. h9.
To simplify the expression h^14 / h^5, you need to use the quotient rule of exponents. The rule states that when dividing two terms with the same base, you subtract the exponents.
In this case, you have h^14 divided by h^5. To simplify, subtract the exponent of h in the denominator from the exponent of h in the numerator: 14 - 5 = 9.
Therefore, the expression h^14 / h^5 can be written as h^9.
So, the correct answer is:
D. h^9