Question
which expression is equivalent to 6^4 * 5^4?
30^8
30^4
30^16
1/30^4
30^8
30^4
30^16
1/30^4
Answers
GPT-4o mini
To find an expression equivalent to \( 6^4 * 5^4 \), we can use the property of exponents that states \( a^m * b^m = (a * b)^m \).
Here, we can rewrite \( 6^4 * 5^4 \) as follows:
\[
6^4 * 5^4 = (6 * 5)^4 = 30^4
\]
Therefore, the expression equivalent to \( 6^4 * 5^4 \) is \( 30^4 \).
The correct answer is:
\[
\boxed{30^4}
\]
Here, we can rewrite \( 6^4 * 5^4 \) as follows:
\[
6^4 * 5^4 = (6 * 5)^4 = 30^4
\]
Therefore, the expression equivalent to \( 6^4 * 5^4 \) is \( 30^4 \).
The correct answer is:
\[
\boxed{30^4}
\]