Question

evaluate. write your answer as a whole number or as a simplified fraction.
$5^6 \cdot 5^{-4} = \square$
submit

Explanation:

Step1: Apply exponent rule \(a^m \cdot a^n = a^{m + n}\)

For \(5^6 \cdot 5^{-4}\), we use the rule of exponents for multiplying powers with the same base. Here, \(a = 5\), \(m = 6\), and \(n=-4\). So we add the exponents: \(5^{6+(-4)}\)

Step2: Simplify the exponent

Calculate the exponent: \(6+(-4)=6 - 4 = 2\). So now we have \(5^2\)

Step3: Calculate \(5^2\)

\(5^2=5\times5 = 25\)

Answer:

25