Solve 6710^-11610^24/6.410^6

$$\frac{ 67 { 10 }^{ -11 } 6 { 10 }^{ 24 } }{ 6.4 { 10 }^{ 6 } }$$

Evaluate

$$628125000$$

Solution Steps

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

$$\frac{67\times 10^{13}\times 6}{6.4\times 10^{6}}$$

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

$$\frac{6\times 67\times 10^{7}}{6.4}$$

Multiply 6 and 67 to get 402.

$$\frac{402\times 10^{7}}{6.4}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{402\times 10000000}{6.4}$$

Multiply 402 and 10000000 to get 4020000000.

$$\frac{4020000000}{6.4}$$

Expand \frac{4020000000}{6.4} by multiplying both numerator and the denominator by 10.

$$\frac{40200000000}{64}$$

Divide 40200000000 by 64 to get 628125000.

$$628125000$$

Factor

$$3\times 67\times 2^{3}\times 5^{8}$$