Question

Write an equivalent expression without negative exponent for 5 to the negative 4th power

Answer 1

Hi! I'm happy to help!

To solve this problem, we need to first solve $5^{-4}$.

Negative exponents divide the number by x instead of multiplying. So, $5^{-4}$ is 1/625. Since we can't use another negative exponent, we can use a number that would decrease with a positive exponent. In this situation, we can use the inverse of 5, which is $\frac{1}{5}$, and put this to the fourth power. $\frac{1}{5} ^{4}$

This expression also equals 1/625.

I hope this was helpful, and keep learning! :D