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
harina [27]
3 years ago
11

Select all the expressions that are equivalent to (2)^n+³

Mathematics
1 answer:
eimsori [14]3 years ago
3 0

Answer:

The expressions which equivalent to  (2)^{n+3} are:

4(2)^{n+1}  ⇒ B

8(2)^{n} ⇒ C

Step-by-step explanation:

Let us revise some rules of exponent

  • a^{m} × a^{m}  = a^{m+n}
  • (a^{m})^{n} = a^{m*n}

Now let us find the equivalent expressions of  (2)^{n+3}

A.

∵ 4 = 2 × 2

∴ 4 =  2^{2}

∴  (4)^{n+2} =  (2^{2})^{n+2}

- By using the second rule above multiply 2 and (n + 2)

∵ 2(n + 2) = 2n + 4

∴  (4)^{n+2} =  (2)^{2n+4}  

B.

∵ 4 = 2 × 2

∴ 4 =  2²

∴  4(2)^{n+1} = 2² ×  (2)^{n+1}

- By using the first rule rule add the exponents of 2

∵ 2 + n + 1 = n + 3

∴   4(2)^{n+1} =  (2)^{n+3}

C.

∵ 8 = 2 × 2 × 2

∴ 8 =  2³

∴  8(2)^{n} = 2³ ×  (2)^{n}

- By using the first rule rule add the exponents of 2

∵ 3 + n = n + 3

∴  8(2)^{n} =  (2)^{n+3}

D.

∵ 16 = 2 × 2 × 2 × 2

∴ 16 = 2^{4}

∴  16(2)^{n} = 2^{4}  ×  (2)^{n}

- By using the first rule rule add the exponents of 2

∵ 4 + n = n + 4

∴  16(2)^{n} =  (2)^{n+4}

E.

(2)^{2n+3} is in its simplest form

The expressions which equivalent to  (2)^{n+3} are:

4(2)^{n+1}  ⇒ B

8(2)^{n} ⇒ C

You might be interested in
What is the answer for -5-(15y-1)=2(7y-16)-y
kari74 [83]
First distribute the negative through the parenthesis on the left and the 2 on the right.
-5 -15y +1 = 14y -32 - y
Combine like terms on the right and left
-4 -15y = 13y -32
Now move the variables to one side and the constants to the other.
Subtract 13y from both sides
-4 -28y = -32
Add 4 to both sides
-28y = -28
Divide both sides by -28
y = 1
3 0
3 years ago
Look at the picture so you know what the problem is.
My name is Ann [436]

Excuse me, is this I ready because you know you can get  reported right... just try your best, it's not a real grade! :)

& possibly delete this question because a bot can track and report this to your school. People at my school did that and got in 3 days detention...

7 0
3 years ago
jace and chris sell their old toyd at a yard sale. they get $45.00. yhey agree that jace will have 2/5 of the money and chris wi
valentinak56 [21]

Answer:

Jace gets $18.00 while Chris keeps $27.00

Step-by-step explanation:

Jace

2/5 of $45.00

2/5 × 45

= $18.00

Jace gets $18.00

Chris:

$45.00 - $18.00 = $27.00

4 0
3 years ago
How would you solve this
nika2105 [10]
To find 10% you would just divide 200 by 10
=200/10
=20

hope this helped !
3 0
3 years ago
Compare the two linear functions.Select which has the greater rate of change and which has the greater initial value.
gizmo_the_mogwai [7]

Answer:

Function 1 is Greater Rate of change and Function 2 is Greater inital value

Step-by-step explanation:

I know I have that question

4 0
3 years ago
Read 2 more answers
Other questions:
  • Plzzz tell me the answer and working out
    14·1 answer
  • the reduced play sells cranberries in bulk for $2.50 per pound the store also sells 8 oz of package of cranberries for $1.50 whi
    7·1 answer
  • Write an equation for the line that is parallel to the given line and that passes through the given point.
    6·2 answers
  • A taxi costs $1.25 for the first mile and $0.75 for each additional mile. Yohana spent $10.25 to take a taxi to the airport. If
    12·1 answer
  • What expression is equivalent to 5n+6+(-7n)
    10·2 answers
  • What is the value of the expression when a+10 when a=6
    9·2 answers
  • Using the quadratic formula to solve 4x^2-3x + 9=2x + 1 what are the values of x​
    14·1 answer
  • Please help!! ASAP due at 3 pm!!
    9·1 answer
  • True or false? linear pairs of angles are congruent
    7·2 answers
  • Which sets of three numbers could represent the lengths of the sides of a right triangle?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!