Solve frac{2^{-1}*3^{1}*5^-1}{2^-2*3^-2*5^-2}

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

Evaluate

$$270$$

Solution Steps

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

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

Calculate 2 to the power of 1 and get 2.

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

Calculate 3 to the power of 3 and get 27.

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

Multiply 2 and 27 to get 54.

$$54\times 5^{1}$$

Calculate 5 to the power of 1 and get 5.

$$54\times 5$$

Multiply 54 and 5 to get 270.

$$270$$

Factor

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