Solve 6.7*10^-11*6*10^24*7.4*10^22

$$6.7 \times 10 ^ { - 11 } \times 6 \times 10 ^ { 24 } \times 7.4 \times 10 ^ { 22 }$$

Evaluate

$$29748000000000000000000000000000000000$$

Solution Steps

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

$$6.7\times 10^{13}\times 6\times 7.4\times 10^{22}$$

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

$$6.7\times 10^{35}\times 6\times 7.4$$

Calculate 10 to the power of 35 and get 100000000000000000000000000000000000.

$$6.7\times 100000000000000000000000000000000000\times 6\times 7.4$$

Multiply 6.7 and 100000000000000000000000000000000000 to get 670000000000000000000000000000000000.

$$670000000000000000000000000000000000\times 6\times 7.4$$

Multiply 670000000000000000000000000000000000 and 6 to get 4020000000000000000000000000000000000.

$$4020000000000000000000000000000000000\times 7.4$$

Multiply 4020000000000000000000000000000000000 and 7.4 to get 29748000000000000000000000000000000000.

$$29748000000000000000000000000000000000$$

Factor

$$3\times 37\times 67\times 2^{35}\times 5^{33}$$