Answer:
Multiple: 1 * 125 = 125
Exponentiation: 2/
5
^ 2 = 22/
52
= 4/
25
In other words - two fifths raised to the power of squared = four twenty-fifths.
Multiple: the result of step No. 1 * the result of step No. 2 = 125 * 4/
25
= 125 · 4/
1 · 25
= 500/
25
= 20 · 25/
1 · 25
= 20
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(500, 25) = 25. In the following intermediate step, cancel by a common factor of 25 gives 20/
1
.
In other words - one hundred twenty-five multiplied by four twenty-fifths = twenty.
Multiple: the result of step No. 3 * 5 = 20 * 5 = 100
Exponentiation: 1/
2
^ 3 = 13/
23
= 1/
8
In other words - one half raised to the power of cubed = one eighth.
Multiple: the result of step No. 4 * the result of step No. 5 = 100 * 1/
8
= 100 · 1/
1 · 8
= 100/
8
= 25 · 4/
2 · 4
= 25/
2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(100, 8) = 4. In the following intermediate step, cancel by a common factor of 4 gives 25/
2
.
In other words - one hundred multiplied by one eighth = twenty-five halfs.
Conversion a mixed number 16 1/
2
to a improper fraction: 16 1/2 = 16 1/
2
= 16 · 2 + 1/
2
= 32 + 1/
2
= 33/
2
To find a new numerator:
a) Multiply the whole number 16 by the denominator 2. Whole number 16 equally 16 * 2/
2
= 32/
2
b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33
c) Write a previous answer (new numerator 33) over the denominator 2.
Sixteen and one half is thirty-three halfs
Multiple: the result of step No. 6 * 33/
2
= 25/
2
* 33/
2
= 25 · 33/
2 · 2
= 825/
4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(825, 4) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - twenty-five halfs multiplied by thirty-three halfs = eight hundred twenty-five quarters.
Exponentiation: 3/
4
^ 4 = 34/
44
= 81/
256
In other words - three quarters raised to the power of to four = eighty-one two-hundred fifty-sixths.
Multiple: the result of step No. 8 * the result of step No. 9 = 825/
4
* 81/
256
= 825 · 81/
4 · 256
= 66825/
1024
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(66825, 1024) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eight hundred twenty-five quarters multiplied by eighty-one two-hundred fifty-sixths = sixty-six thousand eight hundred twenty-five one-thousand twenty-fourths.
Exponentiation: 2/
5
^ 5 = 25/
55
= 32/
3125
In other words - two fifths raised to the power of to five = thirty-two over three thousand one hundred twenty-five.
Step-by-step explanation:
correct me if im wrong po :)
