52 = 5 × 5 = 25
(5/2)2 = 5/2 × 5/2 or (52/22). Squaring each number yields (25/4).
The numerator will stay on top of the fraction and the denominator will stay at the bottom of the fraction. For example: (5/2)2 = (5 x 5/2 x 2) = (25/4).
To convert to a mixed number, divide 4 into 25. It goes in 6 times (6 x 4 = 24) with 1 leftover. Therefore, the mixed number is 6 1/4.
For example: (–2/4)
For example: (–2/4)2 = (–2/4) x (–2/4)
For example: (-2) x (-8) = (+16)
Continuing the example, the resulting fraction will be a positive number. (–2/4) x (–2/4) = (+4/16) Generally, the convention is to drop the “+” sign for positive numbers. [8] X Research source
For example: (4/16) has a common factor of four. Divide the fraction through by 4: 4/4 = 1, 16/4= 4 Rewrite simplified fraction: (1/4)
For example: (12/16)2 12 and 16 can both be divided by 4. 12/4 = 3 and 16/4 = 4; therefore, 12/16 reduces to 3/4. Now, you will square the fraction 3/4. (3/4)2 = 9/16, which cannot be reduced. To prove this, let’s square the original fraction without reducing: (12/16)2 = (12 x 12/16 x 16) = (144/256) (144/256) has a common factor of 16. Dividing both the numerator and denominator by 16 reduces the fraction to (9/16), the same fraction we got from reducing first.
For example: 16 × (12/16)2 Expand out the square and cross out the common factor of 16: 16 * 12/16 * 12/16Because there is one 16 whole number and two 16’s in the denominator, you can cross ONE of them out. Rewrite the simplified equation: 12 × 12/16 Reduce 12/16 by dividing through by 4: 3/4 Multiply: 12 × 3/4 = 36/4 Divide: 36/4 = 9
For example: 16 * (12/16)2 Rewrite with the numerator and denominator squared: 16 * (122/162) Cancel out the exponent in the denominator: 16 * 122/162Imagine the first 16 has an exponent of 1: 161. Using the exponent rule of dividing numbers, you subtract the exponents. 161/162, yields 161-2 = 16-1 or 1/16. Now, you are working with: 122/16 Rewrite and reduce the fraction: 12*12/16 = 12 * 3/4. Multiply: 12 × 3/4 = 36/4 Divide: 36/4 = 9
