0
You carry the exponent to the numerator and denominator. If the fraction is (m/n), then (m/n)x = (mx)/(nx)
For example: (3/4)2 = (32)/(42) = 9/16
If you meant that the exponent is a fraction, such as 82/3, then the denominator of the fractional exponent means to take the root (in the example, cube root) of the number, then the numerator means to take to the power (in the example, squared). You can do either operation first.
82/3 = ((8)2)1/3 = cube root(64) = 4, or ((8)1/3)2 = (2)2 = 4
Add your answer:
Earn +20 pts
How do you raise anumber to a negative exponent?
A number to a negative exponent is the inverse of the number to the positive exponent. That is, x-a = 1/xa
Why can an exponent be a fraction or decimal?
Why not? An exponent is just like any other number.
What if the problem is a fraction with a negative exponent?
Flip the fraction top-to-bottom, and delete the minus sign from the exponent.
Can you have a fraction as an exponent?
Yes.
Can a exponent be a fraction or decimal?
It can be either.
How do you raise anumber to a negative exponent?
A number to a negative exponent is the inverse of the number to the positive exponent. That is, x-a = 1/xa
Why is a number to a negative exponent a fraction?
Because a number to the exponent 0 = 1 and any lesser exponent decreases the value.
Why can an exponent be a fraction or decimal?
Why not? An exponent is just like any other number.
What happens when you raise a number to a zero exponent?
That number is automatically 1.
Write 0.001 as a fraction and a number exponent with a exponent?
One-thousandth, 1 x 10-3
What is an irrational exponent?
It means that it is an exponent, and that it is not a rational number - i.e., one that can be written as a fraction of two integers.
Multiply a number by a fraction exponent?
(16n^8)^3/2
What is 0.1 as a negative exponent?
Anything to the power of a negative number is equal to one divided that "anything" raised to the positive value of the exponent. For example:a-b = 1/ abSo you can think of this by expressing the number as a fraction. Consider, what is 0.1 as a fraction? The answer is 1/10. This means that when expressed as an exponent, it would be 10-1.
What if the problem is a fraction with a negative exponent?
Flip the fraction top-to-bottom, and delete the minus sign from the exponent.
Can you have a fraction as an exponent?
Yes.
What is the reciprocal of a negative exponent when the exponent is a fraction?
The reciprocal of a^(-x/y) is 1/a^(x/y). The fact that the exponent is a fraction makes no difference.
What does a negative exponent produce?
A fraction
