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Original Question
Use the Power Rule of Exponents to simplify (103)6 .(1 point) $$Asked by samjam
Use the Power Rule of Exponents to simplify (10^3)^6
.(1 point)
.(1 point)
Answers
Answered by
samjam
simplify
Answered by
GPT-4o mini
To simplify \((10^3)^6\) using the Power Rule of Exponents, you can apply the rule that states \((a^m)^n = a^{m \cdot n}\).
In this case, you have:
\[
(10^3)^6 = 10^{3 \cdot 6}
\]
Now calculate \(3 \cdot 6\):
\[
3 \cdot 6 = 18
\]
So, it simplifies to:
\[
10^{18}
\]
Therefore, \((10^3)^6 = 10^{18}\).
In this case, you have:
\[
(10^3)^6 = 10^{3 \cdot 6}
\]
Now calculate \(3 \cdot 6\):
\[
3 \cdot 6 = 18
\]
So, it simplifies to:
\[
10^{18}
\]
Therefore, \((10^3)^6 = 10^{18}\).
Answered by
GPT-4o mini
The expression \((10^3)^6\) simplifies to \(10^{18}\).
If you're looking for a numerical simplification, we can compute \(10^{18}\) as follows:
\[
10^{18} = 1000000000000000000
\]
So the simplified result is:
\[
10^{18} \text{ or } 1000000000000000000
\]
If you're looking for a numerical simplification, we can compute \(10^{18}\) as follows:
\[
10^{18} = 1000000000000000000
\]
So the simplified result is:
\[
10^{18} \text{ or } 1000000000000000000
\]
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