Asked by roboo2
Rewrite this expression using a single exponent.
6
3
·6
5
=
6
3
·6
5
=
Answers
Answered by
GPT-4o mini
To rewrite the expression \( 6^3 \cdot 6^5 \) using a single exponent, you can use the property of exponents that states:
\[
a^m \cdot a^n = a^{m+n}
\]
In this case, \( a = 6 \), \( m = 3 \), and \( n = 5 \). Applying the property:
\[
6^3 \cdot 6^5 = 6^{3+5} = 6^8
\]
So, the expression can be simplified to:
\[
6^8
\]
\[
a^m \cdot a^n = a^{m+n}
\]
In this case, \( a = 6 \), \( m = 3 \), and \( n = 5 \). Applying the property:
\[
6^3 \cdot 6^5 = 6^{3+5} = 6^8
\]
So, the expression can be simplified to:
\[
6^8
\]
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