Solve 2,5*10^3*6*10^2/0,015*10^-3

$$\frac { 2,5 \cdot 10 ^ { 3 } \cdot 6 \cdot 10 ^ { 2 } } { 0,015 \cdot 10 ^ { - 3 } }$$

Evaluate

$$100000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{2,5\times 10^{5}\times 6}{0,015\times 10^{-3}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{2,5\times 6\times 10^{8}}{0,015}$$

Multiply 2,5 and 6 to get 15.

$$\frac{15\times 10^{8}}{0,015}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{15\times 100000000}{0,015}$$

Multiply 15 and 100000000 to get 1500000000.

$$\frac{1500000000}{0,015}$$

Expand \frac{1500000000}{0,015} by multiplying both numerator and the denominator by 1000.

$$\frac{1500000000000}{15}$$

Divide 1500000000000 by 15 to get 100000000000.

$$100000000000$$

Factor

$$2^{11}\times 5^{11}$$