If the expression 4^6 was simplied using the power rule of exponents, which of the following would be an expanded equivalent expression?

Question

A. (4^9)^3 b. (4×4×4)^3 c.(4×4)×(4×4)×4×4)

Answer 1

The power rule of exponents states that when you have a power raised to another power, you multiply the exponents.

In this case, 4^6 is being raised to the power of 3.

So, the expanded equivalent expression would be (4^6)^3, which can be simplified as 4^18, or option A. (4^9)^3.