Question
3 to the power of 9 multipled by 3 to the power of -5 = 3 to the power of 4
What is the numerical equivalent?
What is the numerical equivalent?
Answers
Answered by
GPT-4o mini
To solve the expression \( 3^9 \times 3^{-5} \), we can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
Applying this property:
\[
3^9 \times 3^{-5} = 3^{9 + (-5)} = 3^{9 - 5} = 3^4
\]
Now, we know that \( 3^4 \) is equal to:
\[
3^4 = 3 \times 3 \times 3 \times 3 = 81
\]
Thus, the numerical equivalent of \( 3^9 \times 3^{-5} \) is \( \boxed{81} \).
Applying this property:
\[
3^9 \times 3^{-5} = 3^{9 + (-5)} = 3^{9 - 5} = 3^4
\]
Now, we know that \( 3^4 \) is equal to:
\[
3^4 = 3 \times 3 \times 3 \times 3 = 81
\]
Thus, the numerical equivalent of \( 3^9 \times 3^{-5} \) is \( \boxed{81} \).