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
ollegr [7]
2 years ago
8

If a= 2^x and b =2^x+1; show that: 8a^3 / b^3 = 2^x+1​

Mathematics
1 answer:
kkurt [141]2 years ago
7 0

Step-by-step explanation:

Given that:

a = 2ˣ

b = 2ˣ⁺¹ = 2ˣ * 2¹ = 2.2ˣ

Now,

{(8a³)/b²}

Substitute the value of x and y in expression then

= [{8(2ˣ)³}/(2.2ˣ)²]

= [(8*2³ˣ)/{2² * (2ˣ)²}]

= {(8*2³ˣ)/(4 * 2²ˣ)}

[since, (aᵐ)ⁿ = aᵐⁿ]

= {(2 * 2³ˣ)/2²ˣ}

= {(2 * 2²ˣ * 2ˣ)/2²ˣ}

[since (2a = a+a, that means 3x = 2x + x)]

= 2 * 2ˣ

= 2ˣ⁺¹

[since (aᵐ * aⁿ = aᵐ+ⁿ)]

<u>Answer:</u> Therefore, {(8a³)/b²} = 2ˣ⁺¹ .

Please let me know if you have any other.

You might be interested in
Use the parabola tool to graph the quadratic function f(x)=−5x^2−2.
LiRa [457]
Desmos.com and plug in the equation
3 0
3 years ago
What is the slope of the line that passes through the points (2, 3) and (–2, 6)? A. -3/2 B. -3/4 C.3/4 D. 0
Alisiya [41]
Simple...

you have: (2,3) and (-2,6)

Using \frac{ y_{1}-  y_{2} }{ x_{1} - x_{2} }-->>

\frac{3-6}{2--2} = -\frac{3}{4}

Thus, your answer.
8 0
3 years ago
Read 2 more answers
What is 2pi/3 simplified
Rasek [7]
What class is that for?

7 0
3 years ago
If triangle ABC is similar to triangle DEC, find the values of x and y.
Mumz [18]

The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.

Step-by-step explanation:

The given are,

           From ΔABC,

                    AB= 6

                    BC= 10

                    AC = x

           From ΔDEC,

                    CD= 28

                    DE= 21

                    CE = y

Step:1

        Pythagoras theorem from  ΔABC,

                    BC^{2}=AB^{2} + AC^{2}...............(1)

       Substitute the values,

                   10^{2} = 6^{2} + AC^{2}

                  100 = 36 + AC^{2}

                   AC^{2} = 100 - 36

                           = 64

                    AC = \sqrt{64}

                    AC = 8

                  AC = x = 8

Step:2

        Pythagoras theorem for ΔDEC,

               CE^{2} = CD^{2}  + DE^{2}................(2)

       From the values,

              CE^{2} = 28^{2} + 21^{2}

             CE^{2} = 784 + 441

                     = 1225

              CE = \sqrt{1225}

              CE = 35

             CE = y = 35

Result:

         The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.

5 0
3 years ago
Tell me about a 6 ounce container of macadamia nuts for $5.94 what is the unit price per ounce
viva [34]
0.99


Hope this helps


Mark brainliest please
6 0
3 years ago
Other questions:
  • Are there less than 1 million, exactly 1 million, or greater than 1 million milligrams in 1 kilogram? Explain how you know
    7·2 answers
  • A club with 31 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many
    5·1 answer
  • What is the greatest common factor for 84 and 56?
    12·1 answer
  • According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction.
    6·1 answer
  • Someone help me with this
    5·2 answers
  • 564 which statement is false? It is the sum of 56 tens and 4 ones. The number of hundreds is more than the number of tens. To ge
    10·1 answer
  • Find the radius of a circle with area 42.7 units squared.
    9·2 answers
  • I NEED HELP ASAP!!! <br> Find the area of the shaded polygons:
    14·1 answer
  • I NEED HELP NOW please
    11·2 answers
  • Please help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!