If the expression 410 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)
Responses
(412)2
left parenthesis 4 superscript 12 baseline right parenthesis squared
4⋅4⋅4⋅4⋅4⋅4⋅4
4 times 4 times 4 times 4 times 4 times 4 times 4
(42)8
left parenthesis 4 squared right parenthesis superscript 8 baseline
(45)2
left parenthesis 4 raised to the power of 5 right parenthesis squared
The equivalent expanded expression of 410 using the Power Rule of Exponents is: 4⋅4⋅4⋅4⋅4⋅4⋅4, which means multiplying 4 by itself 10 times.
To simplify the expression 410 using the Power Rule of Exponents, we need to expand the expression.
The Power Rule of Exponents states that when you have a number raised to an exponent, you can multiply the number by itself as many times as the exponent indicates.
In this case, we have 4 raised to the power of 10, so we need to multiply 4 by itself 10 times:
4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4
This results in the expanded expression:
4,096