Solve (4^0:4^-1):(4^-1:4^-2)

$$( 4 ^ { 0 } : 4 ^ { - 1 } ) : ( 4 ^ { - 1 } : 4 ^ { - 2 } )$$

Evaluate

$$1$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -1 from 0 to get 1.

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

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -2 from -1 to get 1.

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

Divide 4^{1} by 4^{1} to get 1.

$$1$$

Factor

$$1$$