Example Question - negative exponents rule

Solving Negative Exponents Exercise

The expression \( 5^{-3} \) can be solved by applying the rule of negative exponents, which states that \( a^{-n} = \frac{1}{a^n} \) for any non-zero base \( a \) and positive exponent \( n \). Therefore, in this case: \( 5^{-3} = \frac{1}{5^3} \) Now, we can calculate \( 5^3 \): \( 5^3 = 5 \times 5 \times 5 = 125 \) So the expression becomes: \( 5^{-3} = \frac{1}{125} \) Hence, the solution is \( \frac{1}{125} \).