Solve 2.3410^5/8.7810^8=

$$\frac{ 2.34 { 10 }^{ 5 } }{ 8.78 { 10 }^{ 8 } } =$$

Evaluate

$$\frac{117}{439000}\approx 0.000266515$$

Solution Steps

Cancel out 10^{5} in both numerator and denominator.

$$\frac{2.34}{8.78\times 10^{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{2.34}{8.78\times 1000}$$

Multiply 8.78 and 1000 to get 8780.

$$\frac{2.34}{8780}$$

Expand \frac{2.34}{8780} by multiplying both numerator and the denominator by 100.

$$\frac{234}{878000}$$

Reduce the fraction \frac{234}{878000} to lowest terms by extracting and canceling out 2.

$$\frac{117}{439000}$$

Factor

$$\frac{13 \cdot 3 ^ {2}}{439 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 0.0002665148063781321$$