If the expression 410 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression?

a) (4 ^ 12) ^ 2
b) (4 ^ 5) ^ 2
c) 4 * 4 * 4 * 4 * 4 * 4
d) (4 ^ 2) ^ 8

3 answers

The Power Rule of Exponents states that (a^b)^c is equal to a^(b*c).

In this case, the expression 410 is already in its simplified form (there are no exponents or base). Therefore, there is no equivalent expanded expression using the Power Rule of Exponents.

The correct answer is: There is no equivalent expanded expression.
pick an answer
In that case, option (c) 4 * 4 * 4 * 4 * 4 * 4 is the closest equivalent expanded expression.
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