Answer: 50
<h2>
Explanation:</h2><h3>
What we know:</h3>
- The numerator is 6
- The denominator is equal to (3*5)^(-2)
- In fraction-style equations, the numerators are divided by denominators
- Negative exponents are equal to (base)^|power|, and then reversing the products place in the fraction
<h3>
How to solve:</h3>
By utilizing our knowledge of the PEMDAS solving method, negative powers, and fraction-style equations, this problem can be solved with a simple step-by-step procedure
<h2>
Process:</h2><h3>Exponent</h3>
Set up equation 6 / [3 * 5^(-2)]
Rewrite power 6 / [3 * (5 * 5)]
Simplify power 6 / [3 * (25)]
Invert power 6(25) / 3
<h3>
Simplifying</h3>
Set up equation 6(25) / 3
Simplify 150 / 3
Simplify (using common denominator) 50 / 1
Rewrite in simplest form =50
Answer: 50