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
defon
2 years ago
5

3⁵.2⁴.2¹.3⁶.(3²)⁴ and down (2³)².3⁶​​

Mathematics
1 answer:
BARSIC [14]2 years ago
4 0

Answer:

\dfrac{3^{13}}{2}

Step-by-step explanation:

Given expression:

\dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot (3^2)^4}{(2^3)^2 \cdot 3^6}

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\implies \dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot 3^8}{2^6 \cdot 3^6}

\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:

\implies \dfrac{3^{(5+6+8)} \cdot 2^{(4+1)}}{2^6 \cdot 3^6}

\implies \dfrac{3^{19} \cdot 2^{5}}{2^6 \cdot 3^6}

\implies \dfrac{3^{19} \cdot 2^{5}}{3^6 \cdot 2^6}

\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:

\implies 3^{(19-6)} \cdot 2^{(5-6)}

\implies 3^{13} \cdot 2^{-1}

\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:

\implies \dfrac{3^{13}}{2^1}

\textsf{Apply exponent rule} \quad a^1=a:

\implies \dfrac{3^{13}}{2}

You might be interested in
Expan and simplify the following expression:<br> 3(2a + 3)(2a - 1) - 4 (a^2 - 7)
Mekhanik [1.2K]
= 3(4a^2 + 4a - 3) - 4a^2 + 28
= 12a^2 + 12a - 9 - 4a^2 + 28
= 8a^2 + 12a + 19
= 4a(2a + 3) + 19
3 0
3 years ago
Hiy im in kindergaten and i ned help on my homwwork wat is 5pluss7
inessss [21]

Step-by-step explanation:

5 + 7 = 12 \\

3 0
3 years ago
Read 2 more answers
Mrs. Computer is 3 times older than her daughter, Mousy. The sum of their ages is 52. How old is Mousy?
grandymaker [24]
Mousy=m
Mrs. Computer=3m
m+3m=52
4m=52
m=52/4
m=13
mousy=13, Mrs. Computer=3*13=39 
8 0
3 years ago
Use the following information to write an equation in terms of x. Then solve the equation and find RS and RT .
Arte-miy333 [17]

Answer:

See below

Step-by-step explanation:

Assuming a number line:

rs + st  = rt

3x-16   +    4x-8    = 60  

7x  -24   = 60

7x = 84

x = 12  

6 0
1 year ago
A birdwatcher on a cliff saw a eagle 70 feet above him. Earlier, he had spotted the eagle 30 feet above him. Which integer repre
loris [4]

Answer:

40° or feet

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • I need answers for 1 , 2, 4​
    11·1 answer
  • Numbers expressed using exponents are called what?
    8·1 answer
  • Which number is sixteen thousand four hundred seventy-two in standard form?
    12·2 answers
  • If c=5 and d=4<br> what is 6c squared minus 5d plus 8?
    9·1 answer
  • What type of move takes Figure A to Figure B ?
    14·1 answer
  • Becka says that when she simplifies the expression below, the value is 6 less than her age. What is Becka’s age?
    13·2 answers
  • What is more 2/3 or 1/2
    13·2 answers
  • Simplify the product 7x (x + 4)
    11·2 answers
  • the base of a triangle is four more than twice its height. if the area of the triangle is 45 square centimeter., find its base a
    9·1 answer
  • Which expressions are equivalent to 15 ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!