how do I calculate (3/5)^-3

Answer 1

To calculate \((3/5)^{-3}\), you can follow these steps:

1. Understand that a negative exponent indicates that you take the reciprocal of the base and then raise it to the positive of that exponent. So, \[ (3/5)^{-3} = \left(\frac{5}{3}\right)^{3} \]

2. Now, calculate \(\left(\frac{5}{3}\right)^{3}\): \[ \left(\frac{5}{3}\right)^{3} = \frac{5^3}{3^3} = \frac{125}{27} \]

Thus, the value of \((3/5)^{-3}\) is \(\frac{125}{27}\).