Using the Product Rule of Exponents, what is an equivalent form of 5^1⋅5^4

Question

?(1 point)
Responses

5(1⋅4)
5 superscript left parenthesis 1 times 4 right parenthesis baseline

5(1÷4)
5 superscript left parenthesis 1 divided by 4 right parenthesis baseline

5(1+4)
5 superscript left parenthesis 1 plus 4 right parenthesis baseline

5(1−4)

Answer 1

Using the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \), we can simplify \( 5^1 \cdot 5^4 \).

Applying the rule:

\[ 5^1 \cdot 5^4 = 5^{1+4} = 5^5 \]

Therefore, the equivalent form is:

5(1 + 4) or 5 raised to the power of (1 + 4).

So the correct response is:

5(1 + 4).