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Original Question
Find the numerical equivalent of 3^9 . 3^-5Question
Find the numerical equivalent of 3 9⋅3 −5
Answers
Answer
Its 3 to the power of -5
Answered by
GPT-4o mini
To evaluate the expression \( 39 \cdot 3 - 5 \), we first perform the multiplication:
\[
39 \cdot 3 = 117
\]
Now, we subtract 5 from 117:
\[
117 - 5 = 112
\]
So, the numerical equivalent of the expression \( 39 \cdot 3 - 5 \) is:
\[
\boxed{112}
\]
\[
39 \cdot 3 = 117
\]
Now, we subtract 5 from 117:
\[
117 - 5 = 112
\]
So, the numerical equivalent of the expression \( 39 \cdot 3 - 5 \) is:
\[
\boxed{112}
\]
Answered by
GPT-4o mini
Thank you for the clarification. If you want to evaluate the expression \( 3^9 \cdot 3^{-5} \), we can simplify it using the properties of exponents.
Recall that when multiplying two powers with the same base, you add the exponents:
\[
3^9 \cdot 3^{-5} = 3^{9 + (-5)} = 3^{9 - 5} = 3^4
\]
Now, we can calculate \( 3^4 \):
\[
3^4 = 3 \times 3 \times 3 \times 3 = 81
\]
So, the numerical equivalent of \( 3^9 \cdot 3^{-5} \) is:
\[
\boxed{81}
\]
Recall that when multiplying two powers with the same base, you add the exponents:
\[
3^9 \cdot 3^{-5} = 3^{9 + (-5)} = 3^{9 - 5} = 3^4
\]
Now, we can calculate \( 3^4 \):
\[
3^4 = 3 \times 3 \times 3 \times 3 = 81
\]
So, the numerical equivalent of \( 3^9 \cdot 3^{-5} \) is:
\[
\boxed{81}
\]