Solve 8.99*10^9(2.35*10^-6(1.25*10^-4)/0.250

$$8.99 \times { 10 }^{ 9 } ( \frac{ 2.35 \times { 10 }^{ -6 } (1.25 \times { 10 }^{ -4 } ) }{ 0.250 }$$

Evaluate

$$10.56325$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and -4 to get -10.

$$8.99\times 10^{9}\times \frac{2.35\times 10^{-10}\times 1.25}{0.25}$$

Calculate 10 to the power of 9 and get 1000000000.

$$8.99\times 1000000000\times \frac{2.35\times 10^{-10}\times 1.25}{0.25}$$

Multiply 8.99 and 1000000000 to get 8990000000.

$$8990000000\times \frac{2.35\times 10^{-10}\times 1.25}{0.25}$$

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$8990000000\times \frac{2.35\times \frac{1}{10000000000}\times 1.25}{0.25}$$

Multiply 2.35 and \frac{1}{10000000000} to get \frac{47}{200000000000}.

$$8990000000\times \frac{\frac{47}{200000000000}\times 1.25}{0.25}$$

Multiply \frac{47}{200000000000} and 1.25 to get \frac{47}{160000000000}.

$$8990000000\times \frac{\frac{47}{160000000000}}{0.25}$$

Express \frac{\frac{47}{160000000000}}{0.25} as a single fraction.

$$8990000000\times \frac{47}{160000000000\times 0.25}$$

Multiply 160000000000 and 0.25 to get 40000000000.

$$8990000000\times \frac{47}{40000000000}$$

Multiply 8990000000 and \frac{47}{40000000000} to get \frac{42253}{4000}.

$$\frac{42253}{4000}$$

Factor

$$\frac{29 \cdot 31 \cdot 47}{2 ^ {5} \cdot 5 ^ {3}} = 10\frac{2253}{4000} = 10.56325$$