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ASHA 777 [7]
3 years ago
7

Simplify each expression using an exponent rule learned in class.

29%5E%7B4%7D" id="TexFormula1" title="(\frac{y}{x} )^{4}" alt="(\frac{y}{x} )^{4}" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Maksim231197 [3]3 years ago
3 0

Hey there! I'm happy to help!

If you raise a fraction to an exponent, you apply that exponent to the numerator and the denominator. This would give us \frac{y^4}{x^4}.

Have a wonderful day! :D

Margarita [4]3 years ago
3 0

Since the exponent is outside the fraction, you apply the exponent to both the numerator and denominator.

(y/x)^4 = y^4/x^4

Best of Luck!

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Answer:

5*5*5*5 = 625

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Mashutka [201]

Answer:

The answer is 7

Step-by-step explanation:

25 times 25=625

24 time 24=576

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And the square root of 49 is 7.

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2 years ago
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ollegr [7]

Answer:

1. SSS

2. Q and S

3. 20

Step-by-step explanation:

1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.

Triangles NLM and WUV are similar by SSS similarity, because

\dfrac{NL}{WU}=\dfrac{36}{63}=\dfrac{4}{7}\\ \\\dfrac{LM}{UV}=\dfrac{40}{70}=\dfrac{4}{7}\\ \\\dfrac{NM}{WV}=\dfrac{24}{42}=\dfrac{4}{7}

2. Completed steps:

a) draw a circle with center at P and radius r

b) draw a circle with center at Q and radius r

c) using compass, measure the distance between two points of intersection of the first circle with angle rays

d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S

Last step: connect points Q and S, line QS will be parallel to line r.

3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.

AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .

By AA similarity, triangles VMN and VUT are similar, thus

\dfrac{VM}{VU}=\dfrac{VN}{VT}\\ \\\dfrac{VM}{VM+8}=\dfrac{49-14}{49}\\ \\49VM=35(VM+8)\\ \\49VM=35VM+280\\ \\49VM-35VM=280\\ \\14VM=280\\ \\VM=20\ units

5 0
3 years ago
Given any positive real number, there is a positive real number that is smaller. (a) Given any positive real number r, there is
harina [27]

Answer:

Step-by-step explanation:

here is the attached answer.

Download docx
7 0
3 years ago
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