Answer:
D
Step-by-step explanation:
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:
Step-by-step explanation:
The tangent equation = side opposite angle / side beside angle
which in this case is 
which is the third choice
Hope that helps!
Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:
M - P = 3/4(Q - P)
For the x-coordinate, we have that:
x + 6 = 3/4(2 + 6)
x + 6 = 6
x = 0.
For the y-coordinate, we have that:
y + 5 = 3/4(7 + 5)
y + 5 = 9.
y = 4.
The coordinates are (0,4).
More can be learned about proportions at brainly.com/question/24372153
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Answer:
The next number would be 256