Which expression is equivalent to (4^-1)^-3 ?

1. 1
2. 64
3. 16
4. 1/16

1 answer

The expression (4^-1)^-3 can be simplified using the exponent rules. The exponent rule states that when you have an exponent raised to another exponent, you multiply the exponents.

So, (4^-1)^-3 can be rewritten as 4^(-1*-3).

The product of -1 and -3 is 3, so the expression simplifies to 4^3.

Therefore, the equivalent expression is option 2. 64.