Solve 1.5*10^10*1.5*10^10/1.5*10^15

$$\frac { 1.5 \times 10 ^ { 10 } \times 1.5 \times 10 ^ { 10 } } { 1.5 \times 10 ^ { 15 } }$$

Evaluate

$$150000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 10 and 10 to get 20.

$$\frac{1.5\times 10^{20}\times 1.5}{1.5\times 10^{15}}$$

Cancel out 10^{15} in both numerator and denominator.

$$\frac{1.5\times 1.5\times 10^{5}}{1.5}$$

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

$$\frac{10^{5}}{\frac{1}{1.5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{100000}{\frac{1}{1.5}}$$

Expand \frac{1}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{100000}{\frac{10}{15}}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

$$\frac{100000}{\frac{2}{3}}$$

Divide 100000 by \frac{2}{3} by multiplying 100000 by the reciprocal of \frac{2}{3}.

$$100000\times \frac{3}{2}$$

Express 100000\times \frac{3}{2} as a single fraction.

$$\frac{100000\times 3}{2}$$

Multiply 100000 and 3 to get 300000.

$$\frac{300000}{2}$$

Divide 300000 by 2 to get 150000.

$$150000$$

Factor

$$3\times 2^{4}\times 5^{5}$$