To simplify \((10^6)^3\) using the Power Rule, which states that \((a^m)^n = a^{m \cdot n}\), we can apply it as follows:
\[ (10^6)^3 = 10^{6 \cdot 3} = 10^{18} \]
Therefore, the correct response is:
10^18 (10 to the 18th power).
.(1 point)
Responses
10^3
10 cubed
10^9
10 to the 9th power
10^18
10 to the 18th power
60^3
60 cubed
1 answer
To simplify \((10^6)^3\) using the Power Rule, which states that \((a^m)^n = a^{m \cdot n}\), we can apply it as follows:
\[ (10^6)^3 = 10^{6 \cdot 3} = 10^{18} \]
Therefore, the correct response is:
10^18 (10 to the 18th power).