Solve [(4)^-1][(3)^-1]/4^1

$$\frac { [ ( 4 ) ^ { - 1 } ] [ ( 3 ) ^ { - 1 } ] } { 4 ^ { 1 } }$$

Evaluate

$$\frac{1}{48}\approx 0.020833333$$

Solution Steps

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

$$\frac{\frac{1}{3}}{4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{\frac{1}{3}}{16}$$

Express \frac{\frac{1}{3}}{16} as a single fraction.

$$\frac{1}{3\times 16}$$

Multiply 3 and 16 to get 48.

$$\frac{1}{48}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 3} = 0.020833333333333332$$