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Inessa [10]
3 years ago
8

Help! Which expression is equivalent? On edge

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer: Choice B

x^{1/8}y^{8}

======================================================

Explanation:

The two rules we use are

(a*b)^c = a^c*b^c

(a^b)^c = a^{b*c}

When applying the first rule to the expression your teacher gave you, we can say that:

\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}

Then applying the second rule lets us say

\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}

Therefore,

\left(x^{1/4}y^{16}\right)^{1/2}  = x^{1/8}y^{8}

-------------

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

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X^3 ÷ x^5<br> a)x^8<br> b)x^2<br> c)x^-8<br> d)x^-2
tatiyna

Answer:

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Step-by-step explanation:

7 0
3 years ago
Roselyn wants to drive her car at a speed of 606060 miles per hour for 1.251.251, point, 25 hours. Her car has a fuel efficiency
inessss [21]

Answer:

Hence, there is 5 gallons of fuel Roselyn needed for her journey.

Step-by-step explanation:

Since we have given that

Speed at which Roselyn wants to drive her car = 60 miles per hour

Time taken by her car = 1.5 hours

As we know the formula for "Distance-Speed " :

Her car has fuel efficiency = 15 miles per gallon

Number of gallons of fuel is given by

Read more on Brainly.com - brainly.com/question/2059692#readmore

8 0
3 years ago
Read 2 more answers
Find the slope of the line.
Ronch [10]

Answer:

1/3 is the slope

Step-by-step explanation:

hope this helps

4 0
2 years ago
select the name of the polygon. then select whether it is a regular polygon or not a regular polygon.
Dmitry [639]
Where is the polygon?
7 0
3 years ago
Can you solve this for me
guajiro [1.7K]
g(h(x))=g(\sqrt{x+7})=\dfrac{2}{\sqrt{x+7}+9}\\\\f(g(h(x)))=f\left(\dfrac{2}{\sqrt{x+7}+9}\right)=7\cdot\left(\dfrac{2}{\sqrt{x+7}+9}\right)+9\\\\f(g(h(x)))=\dfrac{14+9\sqrt{x+7}+81}{\sqrt{x+7}+9}\\\\(f\circ g\circ h)(x)=\dfrac{95+9\sqrt{x+7}}{9+\sqrt{x+7}}

With some extra effort, the radical can be removed from the denominator. That result is

(f\circ g\circ h)(x)=\dfrac{9x+14\sqrt{x+7}-792}{x-74}

The preferred form would be the one with the radical in the denominator, as it correctly shows the domain of the function to be x ≥ -7. The function actually is defined at x=74, which the "rationalized" form does not show.
6 0
2 years ago
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