If the expression 4^10 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)

Question

Responses

4⋅4⋅4⋅4⋅4⋅4⋅4
4 times 4 times 4 times 4 times 4 times 4 times 4

(45)2
left parenthesis 4 superscript 5 baseline right parenthesis squared

(42)8
left parenthesis 4 squared right parenthesis superscript 8 baseline

(412)2
left parenthesis 4 superscript 12 baseline right parenthesis squared

Answer 1

The expression \( 4^{10} \) can be simplified using the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\). However, if we are looking for an equivalent expanded expression, we want to show it as a product of the base multiplied by itself.

The expanded expression of \( 4^{10} \) is:

\[ 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \]

This can also be represented as "4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4".

So, the correct response from the provided options would be:

4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4 (or "4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4").

Answer 2

u sure

Answer 3

Yes, I am sure. The expression \( 4^{10} \) means that you multiply the base (which is 4) by itself 10 times. So the equivalent expanded expression is indeed:

\[ 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \]

or simply described as "4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4".

None of the other options you provided would simplify to \( 4^{10} \). Therefore, the correct choice is indeed the first response.