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DerKrebs [107]
3 years ago
11

Which shows the following expression after the negative exponents have been eliminated?

Mathematics
2 answers:
Mazyrski [523]3 years ago
7 0

Answer:

a^2b^2

Step-by-step explanation:

Given the algebraic expression:

\dfrac{a^3b^{-2}}{ab^{-4}} , a\neq 0, b\neq 0

We are required to eliminate the negative exponents and find the resulting expression.

Using the Negative Exponent Law of Indices: x^{-y}=\dfrac{1}{x^y}

Using the Division Law of Indices: \dfrac{t^x}{t^y}=t^{x-y}

Therefore:

\dfrac{a^3b^{-2}}{ab^{-4}} = a^{3-1}\cdot b^{-2-(-4)}\\$Simplifying\\a^{3-1}\cdot b^{-2-(-4)}=a^2b^{-2+4}\\=a^2b^2\\Therefore:\\\dfrac{a^3b^{-2}}{ab^{-4}}=a^2b^2

Brums [2.3K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

did the quiz

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Find the range of y = -3x + 7 for the domain {-8, -6, -3, -2, 2}
svetlana [45]
The domain is the set of x-values of a function. The range is the set of y-values of a function.

You are told that the domain, or x-values, are -8, -6, -3, -2, and 2. To find the range, you just need to plug in each of the x-values into the function <span>y = -3x + 7 and find the value of y.
1) When x = -8:
</span><span>y = -3x + 7
y = -3(-8) + 7
y = 24 + 7
y = 31

2) When x = -6
</span>y = -3x + 7
y = -3(-6) + 7
y = 18 + 7
y = 25

3) When x = -3
y = -3x + 7
y = -3(-3) + 7
y = 9 + 7
y = 16

4) When x = -2
y = -3x + 7
y = -3(-2) + 7
y = 6 + 7
y = 13

5) When y = 2
y = -3x + 7
y = -3(2) + 7
y = -6 + 7
y = 1

The range is {31, 25, 16, 13, 1}.

-------

Answer: 
{31, 25, 16, 13, 1}
5 0
3 years ago
A taxi ride costs p40.00 for the first 500 meters and each additional 300 meters or a fraction there of adds p3.50 to the fare.u
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The function which represents the taxi fare in terms of distance d in meter is f(d) = 3.50 ×\frac{d-500}{300} + 40 .

According to the question,

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Let, the total distance of taxi ride = d meters

Now, representing the equation of taxi fare in terms of distance when distance is less than 500

taxi fare = 3.50 ×  \frac{d-500}{300}  + 40

∴  f(d) = 3.50 ×  \frac{d-500}{300} + 40

To know more about functions refer below link: brainly.com/question/12431044

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2 years ago
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nydimaria [60]

Answer:

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Step-by-step explanation:

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V = 1/3 pi ( 3)^2 *5

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6 0
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Step-by-step explanation:

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Answer:

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