Solve operatorname{hoe}4^-2x(-2)^3/(-2)^-1

$$\operatorname { hoe } \frac { 4 ^ { - 2 } x ( - 2 ) ^ { 3 } } { ( - 2 ) ^ { - 1 } }$$

Evaluate

$$ehox$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$hoe\left(-2\right)^{4}\times 4^{-2}x$$

Calculate 4 to the power of -2 and get \frac{1}{16}.

$$hoe\left(-2\right)^{4}\times \frac{1}{16}x$$

Calculate -2 to the power of 4 and get 16.

$$hoe\times 16\times \frac{1}{16}x$$

Multiply 16 and \frac{1}{16} to get 1.

$$hoex$$

Differentiate w.r.t. x

$$eho$$