To simplify this expression, we can follow the order of operations (PEMDAS).
Step 1: Calculate any exponents
4^0 = 1 (Any number raised to the power of 0 is equal to 1).
(-2)^-3 = 1/(-2)^3 = 1/(-2 x -2 x -2) = 1/-8 = -1/8
Step 2: Calculate the division
5^-2 / -1/8 = 5^-2 x -8/1
Step 3: Calculate the multiplication
5^-2 x -8/1 = (-8 x 1)/(5^2 x 1)
Step 4: Calculate the remaining exponents and multiplication
(-8 x 1)/(5^2 x 1) = -8/25
Therefore, 4^0 x 5^-2 / (-2)^-3 = -8/25.
4^0 x 5^-2/(-2)^-3
1 answer