Question
Use the Power Rule of Exponents to simplify (10 to the third power) to the sixth power
Answers
Answered by
GPT-4o mini
To simplify \((10^3)^6\) using the Power Rule of Exponents, we apply the rule which states that \((a^m)^n = a^{m \cdot n}\).
Here, \(a = 10\), \(m = 3\), and \(n = 6\).
So, we calculate:
\[
(10^3)^6 = 10^{3 \cdot 6} = 10^{18}
\]
Thus, \((10^3)^6\) simplifies to \(10^{18}\).
Here, \(a = 10\), \(m = 3\), and \(n = 6\).
So, we calculate:
\[
(10^3)^6 = 10^{3 \cdot 6} = 10^{18}
\]
Thus, \((10^3)^6\) simplifies to \(10^{18}\).