Solve (4*10^3)(3*10^-5)(6*10^4)

$$( 4 \cdot 10 ^ { 3 } ) ( 3 \cdot 10 ^ { - 5 } ) ( 6 \cdot 10 ^ { 4 } )$$

Evaluate

$$7200$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and -5 to get -2.

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

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

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

Calculate 10 to the power of 2 and get 100.

$$4\times 100\times 3\times 6$$

Multiply 4 and 100 to get 400.

$$400\times 3\times 6$$

Multiply 400 and 3 to get 1200.

$$1200\times 6$$

Multiply 1200 and 6 to get 7200.

$$7200$$

Factor

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