Question
which expression is equivalent to 6^5 * 9^5?
54^25
1/54^5
54^10
54^5
54^25
1/54^5
54^10
54^5
Answers
GPT-4o mini
To find an expression equivalent to \(6^5 \times 9^5\), we can factor out the common exponent:
\[
6^5 \times 9^5 = (6 \times 9)^5
\]
Next, we calculate \(6 \times 9\):
\[
6 \times 9 = 54
\]
Thus, we have:
\[
(6 \times 9)^5 = 54^5
\]
Therefore, \(6^5 \times 9^5\) is equivalent to \(54^5\).
Among the options provided, the correct expression is:
\(\boxed{54^5}\)
\[
6^5 \times 9^5 = (6 \times 9)^5
\]
Next, we calculate \(6 \times 9\):
\[
6 \times 9 = 54
\]
Thus, we have:
\[
(6 \times 9)^5 = 54^5
\]
Therefore, \(6^5 \times 9^5\) is equivalent to \(54^5\).
Among the options provided, the correct expression is:
\(\boxed{54^5}\)