Question

question 3 which expression is equivalent to $(5^3)^2$? $10^9$ $5^9$ $15^3$ $5^6$

Explanation:

Step1: Recall exponent rule

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

Step2: Apply the rule to \((5^3)^2\)

Here, \(a = 5\), \(m = 3\), and \(n = 2\). So we calculate \(3\times2 = 6\), giving \(5^{3\times2}=5^6\).

Answer:

\(5^6\) (the option with \(5^6\))