1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sunny_sXe [5.5K]
1 year ago
10

Simplify 5y^-2 please help fast!!!

Mathematics
2 answers:
kifflom [539]1 year ago
7 0

Answer:

\frac{5}{y^2}

Step-by-step explanation:

So you have the following expression: 5y^_-2}

There is no parenthesis, so the -2 exponent is only applied to the y, and not the 5.

To rewrite a negative exponent, you can use the property: (\frac{a}{b})^{-x}=(\frac{b}{a})^x

You can derive this property from the exponent property: \frac{x^a}{x^b}=x^{a-b}

which essentially consists of just cancelling out the x's from the numerator and the denominator, but in some cases you're "cancelling" out more x's in the denominator, than there are in the numerator.

Take for example: \frac{x^2}{x^5}, using the quotient of exponents, we can simplify it to: x^{2-5}=x^{-3}

And to see why this happening, let's expand out the fraction: \frac{x^2}{x^5}\implies \frac{x*x}{x*x*x*x*x}, as you can see in this fraction there are two x's in the numerator and there are also 2 in the denominator (more than 2, but there are at least 2 in the denominator), thus we can cancel out two of the x's leading to the fraction: \frac{1}{x*x*x}

So by definition: x^{-3}=\frac{1}{x*x*x}=\frac{1}{x^3}

So negative exponents are just the reciprocal in a way, or more formally: (\frac{a}{b})^{-x}=(\frac{b}{a})^x

So in your case specifically we can rewrite y^(-2) as: 5 * y^{-2}\implies5*\frac{1}{y^2}\implies \frac{5}{y^2}

Semmy [17]1 year ago
4 0

Answer:

25y2 i think

Step-by-step explanation:

i hope it helps

You might be interested in
The surface area of the square pyramid is 96 square inches. Find the value of x.
anyanavicka [17]

Answer:

X is 24.

Step-by-step explanation:

Divide the surface area by 4

5 0
3 years ago
Read 2 more answers
Explain why please and make sure it is in full detail
Marysya12 [62]

Step-by-step explanation:

well,

(y - 7)² = (y - 7)(y - 7)

remember how to multiply 2 expressions ?

you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).

so, when we do the multiplication, we get

(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =

= y² - 14y + 49

and that is clearly different to y² - 49

FYI

y² - 49 is the result of

(y - 7)(y + 7)

because

y×y + 7×y - 7×y + (-7)(7) = y² - 49

8 0
2 years ago
Read 2 more answers
What is credit
Vladimir79 [104]

I believe the answer would be C; but I'm not sure if this is the right category for this question?

7 0
3 years ago
Read 2 more answers
What is 13x-8 less than or equal to -32 simplified?
lapo4ka [179]

Answer:

Add

8

8 to both sides

1

3

x

≥

−

3

2

+

8

13x≥−32+8


2 Simplify

−

3

2

+

8

−32+8 to

−

2

4

−24

1

3

x

≥

−

2

4

13x≥−24


3 Divide both sides by

1

3

13

x

≥

−

2

4

1

3

x≥−

​13

​

​24

​​


3 0
3 years ago
Read 2 more answers
Problem is Sin38-cos52
Paha777 [63]
Notice that 38 and 52 make a total of 90
sinA=cos(90-A)
sin38=cos52, therefore the answer is zero
3 0
3 years ago
Other questions:
  • Your doctor prescribes you to take 400 milligrams of medicine every 8 hours. How many ounces of medicine do you take in a day?
    14·2 answers
  • What number is 160% of 75
    12·2 answers
  • Find the mean absolute deviation (MAD) of the data in the pictograph below
    15·2 answers
  • I need help. Someone please help!​
    13·1 answer
  • Identify the equation of a line in slope-intercept form that is parallel to y = 2.5x + 5 and passes through (2, 3).
    14·1 answer
  • In a triangle ABC, M
    7·1 answer
  • Identify the expression as a perfect-square trinomial, a difference of squares, or neither. Factor the expression.
    15·1 answer
  • A class of 30 swim team members took a lifesaving test. Eighteen of the members had an average score of 92 points. The remaining
    10·2 answers
  • Kaiuzumaki2004oxopxl
    14·1 answer
  • The singularity of a galactic dying star creates a 4th dimensional outbreak. how would you deter the event horizon. if the expan
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!