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
Wittaler [7]
2 years ago
9

Please can anyone send a question in law of indices I really need it now​

Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

Answer:

I think this is a pretty good question of law of indices

Step-by-step explanation:

Given that

(9^p)(27^q)=3^n\\

a) express n in terms of p and q ,

b) hence if p = 1 and q = 2 find the value of n

Solution to part a)

(9^p)(27^q)=3^n\\\\

Simplify the equation and how do we do that? As we can see that 9 can also be written as 3^2 and 27 can be written as 3^3 we can rewrite the following equation like this,

(3^2)^p(3^3)^q=3^n\\

now we multiply p with 2 and

multiply q with 3 respectively,

(3^{2p})(3^{3q})=3^n\\

now since the bases are same and are multiplying the exponents will add themselves like this, in this equation the number 3 is the base

3^{2p+3q}=3^n\\

now since the bases on the left hand side and on the right hand side are equal the exponents will also be equal so now,

2p+3q=n\\

hence n is expressed in terms of p and q

Solution to part b)

if p = 1 and q = 2 we plug in these values in the above equation we found for n

n = 2p + 3q

n = 2(1) + 3(2)

n = 2 + 6

n = 7

You might be interested in
How do i solve ? <br><br> 6v-13v-18= -81
Anastaziya [24]

Primitevly do it like:

6v-13v-18=-81

- 7v= -63

v=9

P.S Strongly recommend to learn algebra's basics

8 0
3 years ago
Find the length of XV for Rectangle WXYZ.<br><br> PLEASE HELP!!!!
Kaylis [27]

Answer: 20.5

Step-by-step explanation:

5 0
2 years ago
Convert 25/6 into a mixed number
soldier1979 [14.2K]

Answer:

4 1/6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Hellpp please 20 points for that​
Sergio [31]

Answer:

a) 12cm

b) 360cm²

c) 2160cm cubed

Step-by-step explanation:

a)

you would use Pythagoras theorem  for A

so half of 18 is 9

15² - 9² = 144

the square root of 144 is 12

the height is 12cm

b)

18 x 20 = 360cm²

c)

csa x L

csa = b x h divide by 2

18 x 12 = 216cm²/2 = 108cm²

108xm² x 20cm = 2160cm cubed

8 0
2 years ago
Name a pair of complementary angles in the diagram above.
Tamiku [17]

Answer:

7&9

Step-by-step explanation:

Really, its just because, that's my explanation.

3 0
3 years ago
Other questions:
  • Express the ratio of A's to N's in the word SAVANNAH, in simplest form
    7·2 answers
  • Rochelle works part-time at the college museum, which pays her at a rate of $10 per hour. She also makes small bracelets that sh
    12·2 answers
  • James, Priya, and Siobhan work in a grocery store. James makes $8.00 per hour. Priya makes 20% more than James, and Siobhan make
    15·1 answer
  • Is .325 rational or irrational
    6·2 answers
  • Find the midpoint of (9,2) and (-7,-9)
    6·1 answer
  • 4 1/3 x 3/5 express your awnser in simplest form.
    10·1 answer
  • Julio is playing a trivia game. On his first turn, he lost 100 points. On his second turn, he lost 60 points. On his third turn,
    9·1 answer
  • Which story below could represent the expression 5 +(-15)
    5·1 answer
  • if a bike race covers 120 mi over 6 days and the cyclists ride the same distance every day how many miles does each cyclist ride
    10·1 answer
  • Consider this figure. 11 1/2 in 10 in 20 in​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!