Solve 5^-2*3^3/5^-3*2^0

$$\frac { 5 ^ { - 2 } \times 3 ^ { 3 } } { 5 ^ { - 3 } \times 2 ^ { 0 } }$$

Evaluate

$$135$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{3^{3}\times 5^{1}}{2^{0}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{27\times 5^{1}}{2^{0}}$$

Calculate 5 to the power of 1 and get 5.

$$\frac{27\times 5}{2^{0}}$$

Multiply 27 and 5 to get 135.

$$\frac{135}{2^{0}}$$

Calculate 2 to the power of 0 and get 1.

$$\frac{135}{1}$$

Anything divided by one gives itself.

$$135$$

Factor

$$3^{3}\times 5$$