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
Sveta_85 [38]
1 year ago
12

Simplify 25p^6q^9 / 45p^8q^4. write answer using a positive exponent

Mathematics
1 answer:
sleet_krkn [62]1 year ago
5 0

The simplification of 25p^6q^9 / 45p^8q^4 using a positive exponent;

  • Division is 5p^6 q^9 / 9p^8 q^4
  • Elevated form is  5/9 p^-2 q^5

<h3>What are algebraic expressions?</h3>

Algebraic expressions are expressions made up of factors, variables, terms, coefficients and constants.

They are also comprised of arithmetic operations such as addition, subtraction, multiplication, division, etc

We also know that index forms are also know as standard forms.

They are mathematical expressions showing the power of exponent of a variable in terms of another variable.

Given the index algebraic forms;

25p^6q^9 / 45p^8q^4

Using the rule of indices, we take the negative exponent of the divisor and multiply through.

We have;

5p^6 q^9 × 9p^-8 q^-4

Add exponential values

5/9 p^6-8 q^9 -4

5/9 p^-2 q^5

Thus, the expression is simplified to 5/9 p^-2 q^5

Learn more about index forms here:

brainly.com/question/15361818

#SPJ1

You might be interested in
A composite figure is formed by combining a square and a triangle. Its total area is 57.5 ft2. The area of the triangle is 32.5
ozzi

Answer:

Area of square = Composite Area - Area of Triangle

                         =    32.5  - 7.5  = 25

Area of square = 25 square feet.

Formula for area of square = s²

s²  = 25

s = √25

s = 5

Length of each side of square = 5 feet.

3 0
3 years ago
Read 2 more answers
Your friend tells you that if you let him keep 50 of your Pokemon cards for a month, he will give you 1 card extra when he retur
oksano4ka [1.4K]

Answer:

the answer depends on which type of interest we use:

  • simple interest rate = 24%
  • compound interest rate = 26.82%

Step-by-step explanation:

the interest rate paid for holding the cards one month 1/50 or 2%.

to convert 2% monthly interest rate to a simple annual rate:

monthly rate x 12 months = 2% x 12 = 24%

now to convert 2% monthly interest rate to an annual rate (using compound interest):

  • = (1 + r)ⁿ - 1
  • = (1 + 0.02)¹² - 1 = 1.2682 - 1 = 0.2682 or 26.82%

in compound interest, earned interest earns even more interest by itself besides the interest earned by the principal.

3 0
2 years ago
I need a little help on 21
lidiya [134]

Answer:

560 seconds.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The probability distribution of the amount of memory X (GB) in a purchased flash drive is given below. x 1 2 4 8 16 p(x) .05 .10
Rama09 [41]

Answer:

a) E(X) = 6.45

b) E(X^{2} )= 57.25

c) V(X) = 15.648

d) E(3X + 2) = 21.35

e) E(3X^{2} +2) = 173.75

f) V(3X+2) = 140.832

g) E(X+1) = 7.45

h) V(X+1) = 15.648

Step-by-step explanation:

a) E(X) = \sum xP(x)

E(X) = (1*0.05) + (2*0.10) + (4*0.35) + (8*0.40) + (16*0.10)\\E(X) = 6.45

b)

E(X^{2} ) = (1^{2} *0.05) + (2^{2} *0.10) + (4^{2} *0.35) + (8^{2} *0.40) + (16^{2} *0.10)\\  E(X^{2} )= 57.25

c)

V(X) = E(X^{2} ) - (E(X))^{2} \\V(X) = 57.25 - 6.45^{2} \\V(X) = 15.648

d)

E(3X+2) = 3E(X) + 2\\E(3X+2) = (3*6.45) + 2 \\E(3X+2) = 21.35

e)

E(3X^{2} +2) = 3E(X^{2} ) + 2\\E(3X^{2} +2) = (3*57.25) + 2 \\E(3X^{2} +2) = 173.75

f)

V(3X+2) = 3^{2} V(X)\\V(3X+2) = 9*15.648\\V(3X+2) = 140.832

g)

E(X+1) = E(X) + 1\\E(X+1) = 6.45 + 1\\E(X+1) =7.45

h)

V(X+1) = 1^{2} V(X)\\V(X+1) = 15.648

6 0
3 years ago
Can someone help me with this it’s for science and it’s due tomorrow
8_murik_8 [283]

Answer:

Hoping someone else can answer with more confidence, but here's what I have:

on the left hand side:

upper is partial/penumbral lunar eclipse

lower is total solar eclipse

on the right hand side:

on the top: it's impossible for the moon to be behind the sun, so I'm not sure what they want there

middle is total solar eclipse

bottom is partial/penumbral lunar eclipse

Hope I helped at least a little

6 0
2 years ago
Other questions:
  • PLS HELP
    11·1 answer
  • the sum of two numbers is 15 one number is twice as large as the second number what are the tw numbers which let statement would
    10·1 answer
  • Carl runs around a track in 1.17 minutes. How long would it take him to run 1.5 laps at this rate? [Round to two places.]
    8·2 answers
  • How do you write 94.26 in expanded form
    7·2 answers
  • Help me please,show ur work,Thanks
    13·1 answer
  • Suppose that $7,000 is invested at an interest rate of 6%, compounded continuously. Find the amount in the account after five ye
    8·2 answers
  • HELP ASAP BRAINLIEST FOR CORRECT ANSWER!
    10·1 answer
  • f(x)=-2x-1 g(x)=-1/2x+1/2 Which statements, if any, are true about these functions? I. The function f(g(x)) = x for all real x.
    8·2 answers
  • If x = -3, then x^2-7x + 10 equals
    5·2 answers
  • Which letter is true?<br> If given link I will report.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!