Solve 10^3:10^0*10^4/10^6*0.3

$$\frac { 10 ^ { 3 } : 10 ^ { 0 } \cdot 10 ^ { 4 } } { 10 ^ { 6 } } \cdot 0.3$$

Evaluate

$$3$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 0 from 3 to get 3.

$$\frac{10^{3}\times 10^{4}}{10^{6}}\times 0.3$$

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$\frac{10^{7}}{10^{6}}\times 0.3$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 7 to get 1.

$$10^{1}\times 0.3$$

Calculate 10 to the power of 1 and get 10.

$$10\times 0.3$$

Multiply 10 and 0.3 to get 3.

$$3$$

Factor

$$3$$