Solve 3^5/3^6*5^-5

$$\frac { 3 ^ { 5 } } { 3 ^ { 6 } \cdot 5 ^ { - 5 } }$$

Evaluate

$$\frac{3125}{3}\approx 1041.666666667$$

Solution Steps

Cancel out 3^{5} in both numerator and denominator.

$$\frac{1}{3\times 5^{-5}}$$

Calculate 5 to the power of -5 and get \frac{1}{3125}.

$$\frac{1}{3\times \frac{1}{3125}}$$

Multiply 3 and \frac{1}{3125} to get \frac{3}{3125}.

$$\frac{1}{\frac{3}{3125}}$$

Divide 1 by \frac{3}{3125} by multiplying 1 by the reciprocal of \frac{3}{3125}.

$$1\times \frac{3125}{3}$$

Multiply 1 and \frac{3125}{3} to get \frac{3125}{3}.

$$\frac{3125}{3}$$

Factor

$$\frac{5 ^ {5}}{3} = 1041\frac{2}{3} = 1041.6666666666667$$