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 the power of a power rule

The power of a power rule states that \((a^m)^n = a^{m\times n}\). Here, \(a = 5\), \(m = 2\), and \(n = 5\).

Step2: Apply the rule to the given expression

For \((5^2)^5\), we multiply the exponents: \(2\times5 = 10\). So, \((5^2)^5 = 5^{10}\).

Answer:

10