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
lara [203]
3 years ago
14

Evaluate this exponential expression.

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

(-27)^\dfrac{2}{3} = 9

Step-by-step explanation:

Given that,

Asn expression : (-27)^\dfrac{2}{3}

We need to evaluate the above expression.

We know that, (-3)^3=-27

So,

(-27)^\dfrac{2}{3}=(-3)^{3\times \dfrac{2}{3}}

or

=(-3)^2\\\\=-3\times -3\\\\=9

So, the value of (-27)^\dfrac{2}{3} is 9. Hence, the correct option is (b).

You might be interested in
100 point reward with certified answer. 4 basic algebra questions, must show work. If the answers are wrong your response will b
ipn [44]
Y=kx
12=-4k
  k = -3

so when y = 15
y = kx
15 = -3x
  x = -5

----------------

$50 / 0.04 = $1250 (4% interest)

so
1250 * 0.06 = $75

answer
interest $75 at 6%

-----------------------------

y = kx
1/4 = 4k
k = 1/16

when x = 5
y = kx
y = 1/16(5)
y = 5/16 

-----------
y = kx
-5 = 4k
k = -5/4

direct equation
y = -5/4x

6 0
3 years ago
According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who w
svlad2 [7]

Answer:

The year is  b =  1995

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       d =  a - k

=>    d =  31 - 28

=>   d =  3\%

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       n = \frac{3\%}{0.6\%}

=>     n = 5\ years

Generally the year which the considered percentage will be attained is  

    b =  1990 + n

=> b =  1990 + 5

=> b =  1995

6 0
3 years ago
If the sum of all interior angles of a regular polygon is 1080 degrees then number of sides of the polygon is?
MakcuM [25]

Answer:  8

<u>Step-by-step explanation:</u>

The formula for the sum of the angles of a polynomial is:

S_n=180(n-2)

1080 = 180(n - 2)

1080 = 180n - 360

1440 = 180n

8 = n

6 0
3 years ago
Is 16/3 rational or irrational?
Rudik [331]
16/3 is rational simply because it is a fraction made up of whole numbers.

Irrational numbers cannot be expressed as fractions made up of whole numbers.
5 0
3 years ago
Read 2 more answers
What is the expression using GCF of 2+8
Murrr4er [49]
<span>What is the expression using GCF of 2+8

= 2(1+4)
= 2(5)
=10</span>
3 0
3 years ago
Other questions:
  • Leslie and Daniel plan to put an above-ground pool in the backyard of their new home. The backyard is rectangular, 30 feet by 50
    7·1 answer
  • Hot dog buns come in packages of 8. For the school picnic, Mr. Spencer bought 30 packages of hot dog buns. How many hot dog buns
    14·2 answers
  • HELP PLS DUE TODAY
    15·1 answer
  • Please HELP with these 3 questions
    10·1 answer
  • which set of number could represent the length of the sides of a right triangle? A 9 11 14 B 15 18 21 C 7 24 25 D 8 9 10
    13·2 answers
  • By using the completing the squares method solve<br> Xsquared-8x+3=0
    12·2 answers
  • Kaitlynn needs 3 pounds of fruit for a salad,
    9·1 answer
  • Use the number line to identify the least value, first quartile, median, third quartile, and greatest value of the data.
    10·2 answers
  • Is the function represented by the table non-linear?
    6·2 answers
  • Jacob wants to buy a $500,000 15-year term life policy, and the annual premium rate (per $1000 of face value) for his age group
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!