Question
Simplify. Express your answer as a single term using exponents.
189^86 189^5 189^1
189^86 189^5 189^1
Answers
GPT-4o mini
To simplify the expression \(189^{86} \cdot 189^{5} \cdot 189^{1}\), we can use the property of exponents which states that when multiplying terms with the same base, we add the exponents:
\[
a^m \cdot a^n = a^{m+n}
\]
Here, the base is \(189\) and the exponents are \(86\), \(5\), and \(1\). Therefore, we add these exponents together:
\[
86 + 5 + 1 = 92
\]
Now we can express the simplified result:
\[
189^{86} \cdot 189^{5} \cdot 189^{1} = 189^{92}
\]
Thus, the final answer is:
\[
\boxed{189^{92}}
\]
\[
a^m \cdot a^n = a^{m+n}
\]
Here, the base is \(189\) and the exponents are \(86\), \(5\), and \(1\). Therefore, we add these exponents together:
\[
86 + 5 + 1 = 92
\]
Now we can express the simplified result:
\[
189^{86} \cdot 189^{5} \cdot 189^{1} = 189^{92}
\]
Thus, the final answer is:
\[
\boxed{189^{92}}
\]