Question
Rewrite (15 with an exponent of 3) with an exponent of 10 to a single power of 15
Answers
GPT-4o mini
To rewrite \( 15^3 \) with an exponent of 10 as a single power of 15, we can start by expressing \( 15^3 \) in terms of a power written with base 15.
The expression in the problem is \( 15^{3} \).
If we want to express it using an exponent of 10, we can rewrite it as:
\[
15^{3} = 15^{\frac{3}{10} \cdot 10} = (15^{\frac{3}{10}})^{10}
\]
So the final expression of \( 15^{3} \) in terms of a single power with an exponent of 10 is:
\[
(15^{\frac{3}{10}})^{10}
\]
We cannot express \( 15^3 \) exactly as a single power of \( 15^{10} \) because \( 15^3 \) is not a multiple of \( 10 \). Therefore, the simplified result we've shown is the best way to express it within the context given. If you simply want \( 15^3 \) again using an exponent of \( 10 \), the form above does that effectively. Would you like more information or explanations about exponents?
The expression in the problem is \( 15^{3} \).
If we want to express it using an exponent of 10, we can rewrite it as:
\[
15^{3} = 15^{\frac{3}{10} \cdot 10} = (15^{\frac{3}{10}})^{10}
\]
So the final expression of \( 15^{3} \) in terms of a single power with an exponent of 10 is:
\[
(15^{\frac{3}{10}})^{10}
\]
We cannot express \( 15^3 \) exactly as a single power of \( 15^{10} \) because \( 15^3 \) is not a multiple of \( 10 \). Therefore, the simplified result we've shown is the best way to express it within the context given. If you simply want \( 15^3 \) again using an exponent of \( 10 \), the form above does that effectively. Would you like more information or explanations about exponents?