Solve 9*70^9*4*10^-4*3*10^-2/5^2

$$\frac { 9 \times 70 ^ { 9 } \cdot 4 \times 10 ^ { - 4 } \cdot 3 \times 10 ^ { - 2 } } { 5 ^ { 2 } }$$

Evaluate

$$174327582240$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and -2 to get -6.

$$\frac{9\times 70^{9}\times 4\times 10^{-6}\times 3}{5^{2}}$$

Calculate 70 to the power of 9 and get 40353607000000000.

$$\frac{9\times 40353607000000000\times 4\times 10^{-6}\times 3}{5^{2}}$$

Multiply 9 and 40353607000000000 to get 363182463000000000.

$$\frac{363182463000000000\times 4\times 10^{-6}\times 3}{5^{2}}$$

Multiply 363182463000000000 and 4 to get 1452729852000000000.

$$\frac{1452729852000000000\times 10^{-6}\times 3}{5^{2}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{1452729852000000000\times \frac{1}{1000000}\times 3}{5^{2}}$$

Multiply 1452729852000000000 and \frac{1}{1000000} to get 1452729852000.

$$\frac{1452729852000\times 3}{5^{2}}$$

Multiply 1452729852000 and 3 to get 4358189556000.

$$\frac{4358189556000}{5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{4358189556000}{25}$$

Divide 4358189556000 by 25 to get 174327582240.

$$174327582240$$

Factor

$$2^{5}\times 3^{3}\times 5\times 7^{9}$$