Solve (0,5)^10*(0,5)^0div(0,5)^3

$$( 0,5 ) ^ { 10 } \cdot ( 0,5 ) ^ { 0 } \div ( 0,5 ) ^ { 3 }$$

Evaluate

$$0,0078125$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 10 and 0 to get 10.

$$\frac{0,5^{10}}{0,5^{3}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 10 to get 7.

$$0,5^{7}$$

Calculate 0,5 to the power of 7 and get 0,0078125.

$$0,0078125$$

Factor

$$\frac{1}{2 ^ {7}} = 0.0078125$$