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LiRa [457]
3 years ago
12

I need help and explanations with these 5 questions.Question 1Is the expression x^3*x^3*x^3equivalent to x^(3*3*3)? Why or why n

ot? Explain your reasoning.No because the law of exponentsQuestion 2Rewrite in simplest radical form1/x^((-3)/6)Show each step of your process.Question 3Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.Question 4Rewrite in simplest radical formx^(5/6)/x^(1/6)Show each step of your process.Question 5Which of the following expressions are equivalent? Justify your reasoning.a. 4√x3b. 1/x^(-1)c. 10√x5•x4•x2d. x^(1/3)*x^(1/3)*x^(1/3)

Mathematics
1 answer:
Bess [88]3 years ago
6 0

Answer:

1) No. 2) \sqrt{x} 3)4x 4) x^{\frac{3}{2}} or \sqrt{x^3}5) B and D.

Step-by-step explanation:

Check the pictures below

1) x^{3} *x^{3}*x^{3}=x^{3+3+3}=x^{9}x^(3*3*3)=x^{27}[/tex]

For the first, we must just  repeat the base e sum the exponents

For the second one, we must multiply the exponents.

According to the Exponents Law.

x^{m}*x^{n} =x^{m+n}\\x^{m*n} =x^{mn}

2)

Here we have three combined Exponent laws, namely:

3)

First on multiplying keep the 4 outside the square root,

4) The starting point of it is reminding that in a fraction, whenever we divide two fractions we have to operate the product of the first fraction times the inverse of the second one.

Then we apply the Exponent Law of a divison between same base powers, repeating the base subtracting the exponents, and simplifying it:

x^{\frac{4}{6}}=x^{\frac{3}{2}}

5)

Check below

b and d, are equivalent between themselves since the same quantities of x are displayed. Notice, all we have used. Exponent Laws and Power Properties

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Section 1
icang [17]

Answer:

P(Red) = \frac{7}{25}

Step-by-step explanation:

Given

Red = 35

Blue = 40

Green = 50

Required

Determine the probability of red

P(Red) = \frac{n(Red)}{Total}

Substitute value for n(Red) and calculate Total

P(Red) = \frac{35}{35 + 40 + 50}

P(Red) = \frac{35}{125}

Divide numerator and denominator by 5

P(Red) = \frac{7}{25}

6 0
3 years ago
Write the equation of a line in point slope form that passes through the points (-8.-3) and (2,2) need help ​
slava [35]
Y+3=1/2•(x+8) (point slope form)
should be correct
7 0
3 years ago
What is the solution of the equation?
nadya68 [22]

Answer:

q = 4

Fully simplifying this equation gives you answer (A) q = 4

Hope this helps!

8 0
3 years ago
A boat travels 333 km in 7 hours with a constant speed how far can it travel in 6 hours with the same speed
Charra [1.4K]

Answer:

258 km

Step-by-step explanation:

We can calculate the speed of the boat with (333km/7 hours) = 47.57 km/hr.

Assuming the same speed, the boat would travel (47.57 km/hr)*(6 hr) = 258 km

5 0
2 years ago
Please solve these two questions :) - Use the graphs to solve the equations provided.
harkovskaia [24]

Answer:

7.(1,0) and (-4,0)

8.  (-3,0) and (-2,0)

Step-by-step explanation:

7.

When the function is equal to zero, we are looking for the zeros, or the x intercepts

Where it crosses the x axis are 1 and -4

(1,0) and (-4,0)

8.  When the function is equal to zero, we are looking for the zeros, or the x intercepts

Where it crosses the x axis are -3 and -2

(-3,0) and (-2,0)

8 0
3 years ago
Read 2 more answers
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