Question
Simplify. Express your answer as a single term using exponents.
416^20 416^34 416^9
416^20 416^34 416^9
Answers
GPT-4o mini
To simplify the expression \( 416^{20} \cdot 416^{34} \cdot 416^{9} \), we can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).
First, add the exponents:
\[
20 + 34 + 9 = 63
\]
Now, apply this summation to the base of 416:
\[
416^{20} \cdot 416^{34} \cdot 416^{9} = 416^{63}
\]
Thus, the simplified expression is:
\[
\boxed{416^{63}}
\]
First, add the exponents:
\[
20 + 34 + 9 = 63
\]
Now, apply this summation to the base of 416:
\[
416^{20} \cdot 416^{34} \cdot 416^{9} = 416^{63}
\]
Thus, the simplified expression is:
\[
\boxed{416^{63}}
\]