Solve 2*10^11*4*10^-6*3.14*10^-3

$$2 \times { 10 }^{ 11 } \times 4 \times { 10 }^{ -6 } \times 3.14 \times { 10 }^{ -3 }$$

Evaluate

$$2512$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 11 and -6 to get 5.

$$2\times 10^{5}\times 4\times 3.14\times 10^{-3}$$

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

$$2\times 10^{2}\times 4\times 3.14$$

Calculate 10 to the power of 2 and get 100.

$$2\times 100\times 4\times 3.14$$

Multiply 2 and 100 to get 200.

$$200\times 4\times 3.14$$

Multiply 200 and 4 to get 800.

$$800\times 3.14$$

Multiply 800 and 3.14 to get 2512.

$$2512$$

Factor

$$157\times 2^{4}$$