Given:
Consider the given expression is:

To find:
The simplified form of the given expression.
Solution:
We have,

By using the quotient property of exponents, we get
![\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5Cright%5D)


By using negative exponent property, we get
![\left[\because a^{-n}=\dfrac{1}{a^n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5Cright%5D)
The simplified form of the given expression is
.
Therefore, the correct option is B.
Answer:
h = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
2/3(6h - 9) = 6
<u>Step 2: Solve for </u><em><u>h</u></em>
- [Division Property of Equality] Divide 2/3 on both sides: 6h - 9 = 9
- [Addition Property of Equality] Add 9 on both sides: 6h = 18
- [Division Property of Equality] Divide 6 on both sides: h = 3
F = 5 p
d = 5 ft
The work formula:
W = F * d
W = 5 p * cos 41° * 5 ft = 4 * 0.75471 * 5 = 15.09 ft-lb ≈ 15.1 ft-lb
Answer: C ) 15.1 ft-lb
Answer:
Combination; number of ways = 15.
Step-by-step explanation:
Given that there are 6 people in the contest. So it means n = 6.
Two winners each win gift cards. So it means r = 2.
Each gift card is same, so both persons are equally important. It means the order does not matter here, so it is the case of Combinations. We will use nCr formula.
Total number of ways = 6C2 = (6*5)/2 = 15.
Hence, Combination; number of ways = 15.
Answer:
If the input is n then the output f(n) will be 4n - 8.
Step-by-step explanation:
Let the input of the function is denoted by x and the output is denoted by y.
Then, two ordered pairs of the linear function i.e.(x,y) are (2,0) and (3,4).
Therefore, the relation between x and y i.e. the equation of the straight line will be given by

⇒ y - 4 = 4(x - 3)
⇒ y = 4x - 8
⇒ f(x) = 4x - 8
Therefore, if the input is n then the output f(n) will be 4n - 8. (Answer)