Solve 48^2/9^2*6^2

$$\frac { 48 ^ { 2 } } { 9 ^ { 2 } } \cdot 6 ^ { 2 }$$

Evaluate

$$1024$$

Solution Steps

Calculate 48 to the power of 2 and get 2304.

$$\frac{2304}{9^{2}}\times 6^{2}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{2304}{81}\times 6^{2}$$

Reduce the fraction \frac{2304}{81} to lowest terms by extracting and canceling out 9.

$$\frac{256}{9}\times 6^{2}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{256}{9}\times 36$$

Express \frac{256}{9}\times 36 as a single fraction.

$$\frac{256\times 36}{9}$$

Multiply 256 and 36 to get 9216.

$$\frac{9216}{9}$$

Divide 9216 by 9 to get 1024.

$$1024$$

Factor

$$2^{10}$$