Solve 6.710^-11610^24/6.410^6

$$\frac{ 6.7 { 10 }^{ -11 } 6 { 10 }^{ 24 } }{ 6.4 { 10 }^{ 6 } }$$

Evaluate

$$62812500$$

Solution Steps

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

$$\frac{6.7\times 10^{13}\times 6}{6.4\times 10^{6}}$$

Cancel out 10^{6} in both numerator and denominator.

$$\frac{6\times 6.7\times 10^{7}}{6.4}$$

Multiply 6 and 6.7 to get 40.2.

$$\frac{40.2\times 10^{7}}{6.4}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{40.2\times 10000000}{6.4}$$

Multiply 40.2 and 10000000 to get 402000000.

$$\frac{402000000}{6.4}$$

Expand \frac{402000000}{6.4} by multiplying both numerator and the denominator by 10.

$$\frac{4020000000}{64}$$

Divide 4020000000 by 64 to get 62812500.

$$62812500$$

Factor

$$3\times 67\times 2^{2}\times 5^{7}$$