Solve (1.2*10^3)*(2.5*10^11)*(4*10^9)

$$( 1.2 \times 10 ^ { 3 } ) \times ( 2.5 \times 10 ^ { 11 } ) \times ( 4 \times 10 ^ { 9 } )$$

Evaluate

$$1200000000000000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 11 to get 14.

$$1.2\times 10^{14}\times 2.5\times 4\times 10^{9}$$

To multiply powers of the same base, add their exponents. Add 14 and 9 to get 23.

$$1.2\times 10^{23}\times 2.5\times 4$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$1.2\times 100000000000000000000000\times 2.5\times 4$$

Multiply 1.2 and 100000000000000000000000 to get 120000000000000000000000.

$$120000000000000000000000\times 2.5\times 4$$

Multiply 120000000000000000000000 and 2.5 to get 300000000000000000000000.

$$300000000000000000000000\times 4$$

Multiply 300000000000000000000000 and 4 to get 1200000000000000000000000.

$$1200000000000000000000000$$

Factor

$$3\times 2^{25}\times 5^{23}$$