Solve (4*10^-2)(5*10^4)(3*10^3)

$$( 4 \times 10 ^ { - 2 } ) ( 5 \times 10 ^ { 4 } ) ( 3 \times 10 ^ { 3 } )$$

Evaluate

$$6000000$$

Solution Steps

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

$$4\times 10^{2}\times 5\times 3\times 10^{3}$$

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

$$4\times 10^{5}\times 5\times 3$$

Calculate 10 to the power of 5 and get 100000.

$$4\times 100000\times 5\times 3$$

Multiply 4 and 100000 to get 400000.

$$400000\times 5\times 3$$

Multiply 400000 and 5 to get 2000000.

$$2000000\times 3$$

Multiply 2000000 and 3 to get 6000000.

$$6000000$$

Factor

$$2^{7}\times 3\times 5^{6}$$