Solve (1^6*1^2):(1^10:1^4)

$$( 1 ^ { 6 } \cdot 1 ^ { 2 } ) : ( 1 ^ { 10 } : 1 ^ { 4 } )$$

Evaluate

$$1$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 2 to get 8.

$$\frac{1^{8}}{\frac{1^{10}}{1^{4}}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 10 to get 6.

$$\frac{1^{8}}{1^{6}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 8 to get 2.

$$1^{2}$$

Calculate 1 to the power of 2 and get 1.

$$1$$

Factor

$$1$$