Question

Simplify 5 to the negative 4th power over 5 to the 3rd. 57 5−1 1 over 5 1 over 5 to the 7th power

Answer 1

5^-4 / 5^3
= 5^-1
= 1/5

answer
5^−1
1 over 5

Answer 2

Answer:

The value of the provided expression is $5^{-7}$ or $\frac{1}{5^7}$.

Step-by-step explanation:

Consider the provided information.

We need to find the simplify form of the expression:

$\frac{5^{-4}}{5^3}$

Use the quotient rule of exponent:

$\frac{a^m}{a^n}=a^{m-n}$

Now use the above rule of exponent.

$\frac{5^{-4}}{5^3}$

$5^{-4-3}$

$5^{-7}$ or $\frac{1}{5^7}$

Hence, the value of the provided expression is $5^{-7}$ or $\frac{1}{5^7}$.