Solve (1.7*10^6)2(3.5*10^-2)^2

$$( 1.7 \times 10 ^ { 6 } ) 2 ( 3.5 \times 10 ^ { - 2 } ) ^ { 2 }$$

Evaluate

$$4165$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$1.7\times 1000000\times 2\times \left(3.5\times 10^{-2}\right)^{2}$$

Multiply 1.7 and 1000000 to get 1700000.

$$1700000\times 2\times \left(3.5\times 10^{-2}\right)^{2}$$

Multiply 1700000 and 2 to get 3400000.

$$3400000\times \left(3.5\times 10^{-2}\right)^{2}$$

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

$$3400000\times \left(3.5\times \frac{1}{100}\right)^{2}$$

Multiply 3.5 and \frac{1}{100} to get \frac{7}{200}.

$$3400000\times \left(\frac{7}{200}\right)^{2}$$

Calculate \frac{7}{200} to the power of 2 and get \frac{49}{40000}.

$$3400000\times \frac{49}{40000}$$

Multiply 3400000 and \frac{49}{40000} to get 4165.

$$4165$$

Factor

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