# How do you express 1/3^-2 with positive exponents?

Oct 11, 2017

${3}^{2}$

#### Explanation:

This is because we know that ${3}^{-} 2$ is basically $\frac{1}{3} ^ 2$. This is because the negative on the exponent flips the denominator and the numerator.

In this situation, the denominator and numerator is switched AGAIN. Or another way to think of this is a negative of a negative equals a positive.

Due to this, we can say that $\frac{1}{3} ^ - 2$ is the exact same thing as ${3}^{2}$.

Oct 11, 2017

${3}^{2}$

#### Explanation:

a number raised to a negative exponent is the same as 1 over that number raised to the positive exponent.

In other words, ${3}^{-} 2$ is the same as $\frac{1}{3} ^ 2$.

So, what you have here is, $\frac{1}{3} ^ - 2 = \frac{1}{\frac{1}{3} ^ 2}$

...and that is ${3}^{2}$

GOOD LUCK!