Solve 10*120*6*10^24/left(6.4*10^6right)^2

$$\frac{ 10 \times 120 \times 6 \times { 10 }^{ 24 } }{ { \left(6.4 \times { 10 }^{ 6 } \right) }^{ 2 } }$$

Evaluate

$$175781250000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 24 to get 25.

$$\frac{10^{25}\times 120\times 6}{\left(6.4\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 25 and get 10000000000000000000000000.

$$\frac{10000000000000000000000000\times 120\times 6}{\left(6.4\times 10^{6}\right)^{2}}$$

Multiply 10000000000000000000000000 and 120 to get 1200000000000000000000000000.

$$\frac{1200000000000000000000000000\times 6}{\left(6.4\times 10^{6}\right)^{2}}$$

Multiply 1200000000000000000000000000 and 6 to get 7200000000000000000000000000.

$$\frac{7200000000000000000000000000}{\left(6.4\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{7200000000000000000000000000}{\left(6.4\times 1000000\right)^{2}}$$

Multiply 6.4 and 1000000 to get 6400000.

$$\frac{7200000000000000000000000000}{6400000^{2}}$$

Calculate 6400000 to the power of 2 and get 40960000000000.

$$\frac{7200000000000000000000000000}{40960000000000}$$

Divide 7200000000000000000000000000 by 40960000000000 to get 175781250000000.

$$175781250000000$$

Factor

$$2^{7}\times 3^{2}\times 5^{16}$$