which expression is equivalent to (4^0)^-3 x 4^-2
A 0
B 1/16
C 1
D 1/4
To simplify the expression, we can start by using the property of exponents which states that (a^m)^n = a^(m*n). Therefore, we have:
(4^0)^-3 x 4^-2 = 4^(0*-3) x 4^-2
= 4^0 x 4^-2
Any number (except zero) raised to the power of 0 is equal to 1. Therefore, we have:
4^0 x 4^-2 = 1 x 4^-2
= 4^-2
= 1/4^2
Using the property of exponents, we can rewrite it as:
1/4^2 = 1/16
Therefore, the equivalent expression is B) 1/16.