Solve (17*10^6)2(35*10^-2)^2

$$( 17 \times 10 ^ { 6 } ) 2 ( 35 \times 10 ^ { - 2 } ) ^ { 2 }$$

Evaluate

$$4165000$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$17\times 1000000\times 2\times \left(35\times 10^{-2}\right)^{2}$$

Multiply 17 and 1000000 to get 17000000.

$$17000000\times 2\times \left(35\times 10^{-2}\right)^{2}$$

Multiply 17000000 and 2 to get 34000000.

$$34000000\times \left(35\times 10^{-2}\right)^{2}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$34000000\times \left(35\times \frac{1}{100}\right)^{2}$$

Multiply 35 and \frac{1}{100} to get \frac{7}{20}.

$$34000000\times \left(\frac{7}{20}\right)^{2}$$

Calculate \frac{7}{20} to the power of 2 and get \frac{49}{400}.

$$34000000\times \frac{49}{400}$$

Multiply 34000000 and \frac{49}{400} to get 4165000.

$$4165000$$

Factor

$$2^{3}\times 5^{4}\times 7^{2}\times 17$$