Solve 9*10^916*10^-8/2^2

$$9 \times { 10 }^{ 9 } \frac{ 16 \times { 10 }^{ -8 } }{ { 2 }^{ 2 } }$$

Evaluate

$$360$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{16\times 10^{-8}}{2^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{16\times 10^{-8}}{2^{2}}$$

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$9000000000\times \frac{16\times \frac{1}{100000000}}{2^{2}}$$

Multiply 16 and \frac{1}{100000000} to get \frac{1}{6250000}.

$$9000000000\times \frac{\frac{1}{6250000}}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$9000000000\times \frac{\frac{1}{6250000}}{4}$$

Express \frac{\frac{1}{6250000}}{4} as a single fraction.

$$9000000000\times \frac{1}{6250000\times 4}$$

Multiply 6250000 and 4 to get 25000000.

$$9000000000\times \frac{1}{25000000}$$

Multiply 9000000000 and \frac{1}{25000000} to get 360.

$$360$$

Factor

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