Solve (6.67*10^-11*6*10^24*7.4*10^22

$$(6.67 \times { 10 }^{ -11 } \times 6 \times { 10 }^{ 24 } \times 7.4 \times { 10 }^{ 22 }$$

Evaluate

$$29614800000000000000000000000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and 24 to get 13.

$$6.67\times 10^{13}\times 6\times 7.4\times 10^{22}$$

To multiply powers of the same base, add their exponents. Add 13 and 22 to get 35.

$$6.67\times 10^{35}\times 6\times 7.4$$

Calculate 10 to the power of 35 and get 100000000000000000000000000000000000.

$$6.67\times 100000000000000000000000000000000000\times 6\times 7.4$$

Multiply 6.67 and 100000000000000000000000000000000000 to get 667000000000000000000000000000000000.

$$667000000000000000000000000000000000\times 6\times 7.4$$

Multiply 667000000000000000000000000000000000 and 6 to get 4002000000000000000000000000000000000.

$$4002000000000000000000000000000000000\times 7.4$$

Multiply 4002000000000000000000000000000000000 and 7.4 to get 29614800000000000000000000000000000000.

$$29614800000000000000000000000000000000$$

Factor

$$3\times 23\times 29\times 37\times 2^{34}\times 5^{32}$$