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
AVprozaik [17]
2 years ago
5

Please solve this law of indices​

Mathematics
2 answers:
PilotLPTM [1.2K]2 years ago
5 0

4√36^-1 = 36^-1/4

36^3/4 • 36^-1/4

=36^2/4

or √36 = 6

Ludmilka [50]2 years ago
5 0

\sf Formulas:  \displaystyle \\\\\ 1)  \ a^{n} \cdot a^{m}=a^{n+m}  \\\\ 2) \sf \ \sqrt[n]{\sf a^{m}} = a^{\tfrac{m}{n} }  \\\\\\ Solution : \\\\\\\sf \large \boldsymbol {}  \displaystyle (36)^{\tfrac{3}{4} } \cdot \sqrt[\sf 4 ]{\sf 36^{-1}} }= 36^{\tfrac{3}{4} } \cdot 36^{\tfrac{-1}{4} } =36^{\tfrac{3}{4}+\big(-\tfrac{1}{4} \big ) }= \\\\\\\ 36^{\tfrac{3}{4} -\tfrac{1}{4}  } =36^{\tfrac{2}{4} }=(6^ {\backslash \!\!\!2})^{\tfrac{1}{\backslash\!\!\!2} }= 6^1=\boxed{\sf 6}

You might be interested in
Please help!!!! 8th grade math
zavuch27 [327]

Answer: (4,12) or (1/3) simplified

3 0
2 years ago
Read 2 more answers
Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 ever
omeli [17]

The <em>correct answers</em> are:


It would take 5 months and she would save $250.


Explanation:


Let m be the number of months.


For the first way of saving, $200 up front and $10 each month, the expression would be

200+10m.


For the second way of saving, $100 up front and $30 each month, the expression would be

100+30m.


Setting them equal gives us the equation

200+10m = 100+30m


Subtract 10m from each side:

200+10m-10m = 100+30m-10m

200 = 100+20m


Subtract 100 from each side:

200-100 = 100+20m-100

100 = 20m


Divide both sides by 20:

100/20 = 20m/20

5 = m


It would take 5 months.


$200 up front and $10 each month for 5 months:

200+10m

200+10(5)

200+50

250


She would save $250.

6 0
3 years ago
Read 2 more answers
State if the two triangles are congruent. If they are, state how you know.
Gwar [14]

Answer:

The triangles can be congruent.

Step-by-step explanation:

They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.

The last side can be congruent if the diagonals are congruent in length by proving.

They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.

4 0
3 years ago
The function f(x) = −x2 + 16x − 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number
castortr0y [4]
I wrote it out on paper and uploaded the answer for you. Let me know if you have any questions.

5 0
3 years ago
Read 2 more answers
En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec
elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².  

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁  (1)  

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):      

l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm  (2)            

a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm   (3)    

El perímetro del rectángulo interno es:

P_{2} = 2l_{2} + 2a_{2}    (4)

Introduciendo la ecuación (2) y (3) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm  

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

 

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

l_{2} = 2a_{2}     (5)

Introduciendo (5) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}

a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm

l_{2} = 2a_{2} = 2*12 cm = 24 cm

Entonces el área es:

A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².      

Espero que te sea de utilidad!  

7 0
3 years ago
Other questions:
  • A summer camp cookout is planned for the campers and their families. There is room for 450 people. Each adult costs $7, and each
    9·1 answer
  • Rewrite each expression using each base only once.
    11·1 answer
  • Need help with this question.<br><br> Find the values of x,y, and z. The diagram is not to scale.
    7·2 answers
  • What is the answer to <br>3n-5=7n+11
    12·2 answers
  • Which mixes number is equivalent to the improper fraction 17/10
    14·2 answers
  • The probability of getting disease X (event A) is 0.65, and the probability of getting disease Y (event B) is 0.76. The probabil
    14·2 answers
  • Order all of these from greatest to least
    14·1 answer
  • 67✖️85 and estimate plz help
    6·2 answers
  • Prove by mathematical induction.<br> 2n&lt;(n+2)!, for n ≥ 0, where n ∈ ℤ
    14·1 answer
  • AABC is similar to AAXY by a ratio of 4:3. If BC = 24, what is the length of XY?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!