Solve (3/2*10^6)*(6*10^7)*(4*10^3)

$$( \frac { 3 } { 2 } \times 10 ^ { 6 } ) \times ( 6 \times 10 ^ { 7 } ) \times ( 4 \times 10 ^ { 3 } )$$

Evaluate

$$360000000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 7 to get 13.

$$\frac{3}{2}\times 10^{13}\times 6\times 4\times 10^{3}$$

To multiply powers of the same base, add their exponents. Add 13 and 3 to get 16.

$$\frac{3}{2}\times 10^{16}\times 6\times 4$$

Calculate 10 to the power of 16 and get 10000000000000000.

$$\frac{3}{2}\times 10000000000000000\times 6\times 4$$

Express \frac{3}{2}\times 10000000000000000 as a single fraction.

$$\frac{3\times 10000000000000000}{2}\times 6\times 4$$

Multiply 3 and 10000000000000000 to get 30000000000000000.

$$\frac{30000000000000000}{2}\times 6\times 4$$

Divide 30000000000000000 by 2 to get 15000000000000000.

$$15000000000000000\times 6\times 4$$

Multiply 15000000000000000 and 6 to get 90000000000000000.

$$90000000000000000\times 4$$

Multiply 90000000000000000 and 4 to get 360000000000000000.

$$360000000000000000$$

Factor

$$2^{18}\times 3^{2}\times 5^{16}$$