Question

simplify. express your answer using a single exponent.
$(s^{5})^{4}$

Explanation:

Step1: Recall exponent rule

When raising a power to a power, multiply the exponents: \((a^m)^n = a^{m\times n}\).

Step2: Apply the rule to \((s^5)^4\)

Here, \(a = s\), \(m = 5\), and \(n = 4\). So we multiply the exponents: \(5\times4 = 20\). Thus, \((s^5)^4 = s^{5\times4}=s^{20}\).

Answer:

\(s^{20}\)