# How do you simplify (6/5)^-2 * (36/625)?

Mar 11, 2018

$\frac{1}{25}$

#### Explanation:

We can apply the negative exponent rule to the first part of the calculation. To do this we raise both the numerator and denominator to the value of the exponent outside the brackets, which in this case is $2$.

${6}^{2} = 36$

${5}^{2} = 25$

= $\frac{36}{25}$

Now that we have the values that have been raised to the power of $2$ or multiplied by themselves, we reverse the fraction due to the exponent being negative

$\therefore$ = $\frac{25}{36}$

We can now multiply this fraction by $\frac{36}{625}$

$\frac{25}{36} \cdot \frac{36}{625} = \frac{900}{22500}$

We can simplify this value further

$\therefore = \frac{1}{25}$