I have to rewrite the fraction without an exponent, but I'm not for sure how to do the negative exponent. pls help!
(3/2)^-2
x^-n = 1/x^n
so
(3/2)^-2
= 1/(3/2)^2
1 / (3^2/2^2)
= 2^2/3^2
4/9
To rewrite a fraction with a negative exponent, you can use the rule that states any number raised to a negative exponent equals its reciprocal raised to the positive exponent.
In this case, the fraction is (3/2) raised to the power of -2. To rewrite it without the negative exponent, you can use the reciprocal of (3/2) which is (2/3), and raise it to the positive exponent of 2.
So, (3/2)^-2 = (2/3)^2.
Now, you can simplify (2/3)^2 by multiplying the numerator (2) by itself and the denominator (3) by itself:
(2/3)^2 = (2^2) / (3^2) = 4/9.
So, (3/2)^-2 is equal to 4/9.