Question

question
simplify to a single power of 5:
$(5^2)^5$
answer attempt 1 out of 2
answer: $5\square$ submit answer

Explanation:

Step1: Recall exponent rule

For \((a^m)^n\), we use the power - of - a - power rule which states that \((a^m)^n=a^{m\times n}\). Here, \(a = 5\), \(m = 2\) and \(n=5\).

Step2: Apply the rule

Substitute the values into the formula: \((5^{2})^{5}=5^{2\times5}\)

Step3: Calculate the exponent

Calculate \(2\times5 = 10\), so \((5^{2})^{5}=5^{10}\)

Answer:

\(5^{10}\) (the exponent is 10)