Solve 2*10^-9*1.5*10^-8/0.03*10^2*8.98*10^9

$$\frac{ 2 \times { 10 }^{ -9 } \times 1.5 \times { 10 }^{ -8 } }{ 0.03 \times { 10 }^{ 2 } } \times 8.98 \times { 10 }^{ 9 }$$

Evaluate

$$0.0000000898$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -9 and -8 to get -17.

$$\frac{2\times 10^{-17}\times 1.5}{0.03\times 10^{2}}\times 8.98\times 10^{9}$$

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

$$\frac{1.5\times 2}{0.03\times 10^{19}}\times 8.98\times 10^{9}$$

Multiply 1.5 and 2 to get 3.

$$\frac{3}{0.03\times 10^{19}}\times 8.98\times 10^{9}$$

Calculate 10 to the power of 19 and get 10000000000000000000.

$$\frac{3}{0.03\times 10000000000000000000}\times 8.98\times 10^{9}$$

Multiply 0.03 and 10000000000000000000 to get 300000000000000000.

$$\frac{3}{300000000000000000}\times 8.98\times 10^{9}$$

Reduce the fraction \frac{3}{300000000000000000} to lowest terms by extracting and canceling out 3.

$$\frac{1}{100000000000000000}\times 8.98\times 10^{9}$$

Multiply \frac{1}{100000000000000000} and 8.98 to get \frac{449}{5000000000000000000}.

$$\frac{449}{5000000000000000000}\times 10^{9}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{449}{5000000000000000000}\times 1000000000$$

Multiply \frac{449}{5000000000000000000} and 1000000000 to get \frac{449}{5000000000}.

$$\frac{449}{5000000000}$$

Factor

$$\frac{449}{2 ^ {9} \cdot 5 ^ {10}} = 8.979999999999999 \times 10^{-8}$$