Answer:
- b/a
- 16a²b²
- n¹⁰/(16m⁶)
- y⁸/x¹⁰
- m⁷n³n/m
Step-by-step explanation:
These problems make use of three rules of exponents:

In general, you can work the problem by using these rules to compute the exponents of each of the variables (or constants), then arrange the expression so all exponents are positive. (The last problem is slightly different.)
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1. There are no "a" variables in the numerator, and the denominator "a" has a positive exponent (1), so we can leave it alone. The exponent of "b" is the difference of numerator and denominator exponents, according to the above rules.

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2. 1 to any power is still 1. The outer exponent can be "distributed" to each of the terms inside parentheses, then exponents can be made positive by shifting from denominator to numerator.

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3. One way to work this one is to simplify the inside of the parentheses before applying the outside exponent.

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4. This works the same way the previous problem does.

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5. In this problem, you're only asked to eliminate the one negative exponent. That is done by moving the factor to the numerator, changing the sign of the exponent.

Answer: 50% of the sandwiches were turkey, 30% were veggie and 20% were tuna.
Step-by-step explanation: The total number of sandwiches sold was 50 in all.
The sales according to type of sandwich were as follows;
25 Turkey
15 Veggie
10 Tuna
50 Total
Since there were 50 sandwiches sold and of these 25 were turkey sandwiches and another 15 were veggie sandwiches, then the remaining which is tuna sandwich is derived as 50 - [25 + 15] which equals 10.
To calculate the percentage per type of sandwich sold;
(a) Turkey is derived as
Percentage turkey = (25/50) x 100
Percentage turkey = 1/2 x 100
Percentage turkey = 50%
(b) Veggie is derived as
Percentage Veggie = (15/50) x 100
Percentage Veggie = (3/10) x 100
Percentage Veggie = 30%
(c) Percentage tuna = (10/50) x 100
Percentage tuna = 1/5 x 100
Percentage tuna = 20%
Answer:
71°
Step-by-step explanation:
- 84+(2x-1)+(x+8)+(x+5)=360 [angles in a quadrilateral add to 360°]
- 4x+96=360 [combine like terms]
- 4x=264 [subtract 96 from both sides]
- x=66 [divide both sides by 4]
So, angle A measures 66+5=71°