Solve 4.2*10^2*10*4.2*4*60/100

$$4.2 \times { 10 }^{ 2 } \times 10 \times 4.2 \times 4 \times \frac{ 60 }{ 100 }$$

Evaluate

$$42336$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$4.2\times 10^{3}\times 4.2\times 4\times \frac{60}{100}$$

Calculate 10 to the power of 3 and get 1000.

$$4.2\times 1000\times 4.2\times 4\times \frac{60}{100}$$

Multiply 4.2 and 1000 to get 4200.

$$4200\times 4.2\times 4\times \frac{60}{100}$$

Multiply 4200 and 4.2 to get 17640.

$$17640\times 4\times \frac{60}{100}$$

Multiply 17640 and 4 to get 70560.

$$70560\times \frac{60}{100}$$

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$70560\times \frac{3}{5}$$

Express 70560\times \frac{3}{5} as a single fraction.

$$\frac{70560\times 3}{5}$$

Multiply 70560 and 3 to get 211680.

$$\frac{211680}{5}$$

Divide 211680 by 5 to get 42336.

$$42336$$

Factor

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