# Thread: Basic Question on Fractions with Exponents

1. ## Basic Question on Fractions with Exponents

Just wanted to verify that these two fractions are equal to each other, they produce the same value, its just a matter of how you want to write it.
$\displaystyle \frac{1}{8}x^{3}=\frac{x^3}{8}$

Similarly I could rewrite the example below as such
$\displaystyle \frac{x^{13}}{y^8}=\frac{1}{y^8}x^{13}$

Are both of these examples correct?

2. ## Re: Basic Question on Fractions with Exponents

Originally Posted by cmf0106
Just wanted to verify that these two fractions are equal to each other, they produce the same value, its just a matter of how you want to write it.
$\displaystyle \frac{1}{8}x^{3}=\frac{x^3}{8}$

Similarly I could rewrite the example below as such
$\displaystyle \frac{x^{13}}{y^8}=\frac{1}{y^8}x^{13}$

Are both of these examples correct?
YES

3. ## Re: Basic Question on Fractions with Exponents

Originally Posted by cmf0106
Just wanted to verify that these two fractions are equal to each other, they produce the same value, its just a matter of how you want to write it.
$\displaystyle \frac{1}{8}x^{3}=\frac{x^3}{8}$

Similarly I could rewrite the example below as such
$\displaystyle \frac{x^{13}}{y^8}=\frac{1}{y^8}x^{13}$

Are both of these examples correct?
Yes, but the right side looks nicer if you put in the implied multiplication symbol: $\frac{1}{y^8}\cdot x^{13}$