Solve 9*10^99*10^-8*1*10^-8/0.06^2

$$9 \times { 10 }^{ 9 } \frac{ 9 \times { 10 }^{ -8 } \times 1 \times { 10 }^{ -8 } }{ { 0.06 }^{ 2 } }$$

Evaluate

$$0.00225$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -8 and -8 to get -16.

$$9\times 10^{9}\times \frac{9\times 10^{-16}\times 1}{0.06^{2}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{9\times 10^{-16}\times 1}{0.06^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{9\times 10^{-16}\times 1}{0.06^{2}}$$

Calculate 10 to the power of -16 and get \frac{1}{10000000000000000}.

$$9000000000\times \frac{9\times \frac{1}{10000000000000000}\times 1}{0.06^{2}}$$

Multiply 9 and \frac{1}{10000000000000000} to get \frac{9}{10000000000000000}.

$$9000000000\times \frac{\frac{9}{10000000000000000}\times 1}{0.06^{2}}$$

Multiply \frac{9}{10000000000000000} and 1 to get \frac{9}{10000000000000000}.

$$9000000000\times \frac{\frac{9}{10000000000000000}}{0.06^{2}}$$

Calculate 0.06 to the power of 2 and get 0.0036.

$$9000000000\times \frac{\frac{9}{10000000000000000}}{0.0036}$$

Express \frac{\frac{9}{10000000000000000}}{0.0036} as a single fraction.

$$9000000000\times \frac{9}{10000000000000000\times 0.0036}$$

Multiply 10000000000000000 and 0.0036 to get 36000000000000.

$$9000000000\times \frac{9}{36000000000000}$$

Reduce the fraction \frac{9}{36000000000000} to lowest terms by extracting and canceling out 9.

$$9000000000\times \frac{1}{4000000000000}$$

Multiply 9000000000 and \frac{1}{4000000000000} to get \frac{9}{4000}.

$$\frac{9}{4000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {5} \cdot 5 ^ {3}} = 0.00225$$