Write each expression using a single exponent.
x to the ninth over x squared
A. x11
B. x7
C. 7
D. x5
To write the expression using a single exponent, you need to subtract the exponent of the denominator from the exponent of the numerator. In this case, the numerator has an exponent of 9 and the denominator has an exponent of 2.
To simplify, subtract 2 from 9: 9 - 2 = 7.
Therefore, the expression x to the ninth over x squared can be written as x to the power of 7.
So, the correct answer is B. x7.
x^9 / x^2 = x^(9-2) = x^7
That is just another way of doing
x*x*x*x*x*x*x*x*x / x*x
The x*x cancels, leaving just x^7