Solve 92^7*0.7^3/0.7^6

$$\frac { 92 ^ { 7 } \cdot 0.7 ^ { 3 } } { 0.7 ^ { 6 } }$$

Evaluate

$$\frac{55784660123648000}{343}\approx 1.626374931 \cdot 10^{14}$$

Solution Steps

Cancel out 0.7^{3} in both numerator and denominator.

$$\frac{92^{7}}{0.7^{3}}$$

Calculate 92 to the power of 7 and get 55784660123648.

$$\frac{55784660123648}{0.7^{3}}$$

Calculate 0.7 to the power of 3 and get 0.343.

$$\frac{55784660123648}{0.343}$$

Expand \frac{55784660123648}{0.343} by multiplying both numerator and the denominator by 1000.

$$\frac{55784660123648000}{343}$$

Factor

$$\frac{2 ^ {17} \cdot 5 ^ {3} \cdot 23 ^ {7}}{7 ^ {3}} = 162637493071860\frac{20}{343} = 162637493071860.06$$