Solve (0.5^3)^4/0.5^6*0.5^4

$$\frac { ( 0.5 ^ { 3 } ) ^ { 4 } } { 0.5 ^ { 6 } \times 0.5 ^ { 4 } }$$

Evaluate

$$0.25$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$\frac{0.5^{12}}{0.5^{6}\times 0.5^{4}}$$

To multiply powers of the same base, add their exponents. Add 6 and 4 to get 10.

$$\frac{0.5^{12}}{0.5^{10}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 10 from 12 to get 2.

$$0.5^{2}$$

Calculate 0.5 to the power of 2 and get 0.25.

$$0.25$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$