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

1. (4^12)^2
2. 4*4*4*4*4*4*4
3. (4^5)^2
4. (4^2)^8

1 answer

The Power Rule of Exponents states that when taking an exponent to another exponent, you multiply the exponents.

In this case, the original expression is 4^10.

According to the Power Rule of Exponents, we can rewrite it as (4^2)^5.

Therefore, the correct expanded expression is 4*4*4*4*4*4*4*4*4*4, which can be simplified as 4^10.

The equivalent expanded expression is 2. 4*4*4*4*4*4*4.