Question

1 look back what is $(10^3)^2$ rewritten as a single power? how did you get your answer? $10^6$ multiply the exponents. $3*2 = 6$

Explanation:

Step1: Recall exponent rule

For \((a^m)^n\), the power - of - a - power rule states that \((a^m)^n=a^{m\times n}\). Here, \(a = 10\), \(m = 3\) and \(n=2\).

Step2: Apply the rule

Substitute the values into the formula: \((10^{3})^{2}=10^{3\times2}\)

Step3: Calculate the exponent

Calculate \(3\times2 = 6\), so \((10^{3})^{2}=10^{6}\)

Answer:

\(10^{6}\) (by using the power - of - a - power rule \((a^m)^n=a^{m\times n}\), where \(a = 10\), \(m = 3\) and \(n = 2\), then \(3\times2=6\) so \((10^{3})^{2}=10^{6}\))