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
IrinaK [193]
3 years ago
11

Is 3^100/3^99 greater than,less than, or equal to 3??

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

\frac{3^{100}}{3^{99}} = 3

Step-by-step explanation:

\frac{a^{m}}{a^{n}}=a^{m-n}, m>n\\\\

Therefore,

\frac{3^{100}}{3^{99}}=3^{100-99}=3^{1}=3\\\\\frac{3^{100}}{3^{99}} = 3

You might be interested in
Please Help! What is the distance between points (2, 8) and (7, 5)? Round to the nearest tenth of a unit.
zavuch27 [327]
Distance formula is like pythagoren ahtoerem
D=\sqrt{(7-2)^{2}+(5-8)^{2}}
the distance between oints (x1,y1) and (x2,y2) is
D=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}
(2,8) and (7,5)
D=\sqrt{(7-2)^{2}+(5-8)^{2}}
D=\sqrt{(5)^{2}+(-3)^{2}}
D=\sqrt{25+9}
D=\sqrt{34}
apxos
D=5.8309....

round
D=5.8 units


6 0
3 years ago
Read 2 more answers
-13 times the difference between a number and 60 is equal to the number plus -59
kipiarov [429]
Let n represent the number.
  -13×(n -60) = n +(-59)
  -13n +780 = n -59
  839 = 14n
  839/14 = n = 59 13/14

The number is 59 13/14.

_____
Check
  The difference between the number and 60 is
    59 13/14 -60 = -1/14
  -13 times that value is
    -13*(-1/14) = 13/14
  Compare that to the number plus -59
    59 13/14 -59 = 13/14 . . . . . the same value, as required.
8 0
3 years ago
Henry ate 3/8 of a sandwich. Keith ate 4/8 of the same sandwich. How much more of the sandwich did Keith eat than Henry?
ludmilkaskok [199]
4/8-3/8=1/8more

Therefore Keith at 1/8 more of the sandwich than Henry.
6 0
3 years ago
Two trains 100 km apart are traveling toward each other along the same track. The first train goes 50 km per hour; the second tr
dem82 [27]

Answer:

92.31 km

Step-by-step explanation:

Combined speed = 50+80

= 130 km/hour

Time = 100/130 = 10/13 hours to collide

Speed × time = distance

distance = 10/13 × 120

= 92.30769231 km

7 0
3 years ago
If the two terms of a gemotric sequence are a1=216, and a2=72, which is the third term? a3?
Ierofanga [76]
GEOMETRIC \: \: PROGRESSIONS \\ \\ \\\\Let \: the \: G.P. \: be \: \: A \: , \: Ar \: , \: A {r}^{2} \: ... \\ \\ Where \:first \: term \: is \: \: A \: \: \\ and \: common \: ratio \: is \: \: R \\ \\ Let \: An \: denotes \: the \: \: nth \: term \: of \: \\ the \: given \: Geometric \: Progression \: \\ \\ It \: is \: given \: - \\ \\ A1 \: = \: 72 \\ \\ A2 \: = \: 216 \\ \\ Common \: ratio \: = \: \frac{A2}{A1} = \frac{216}{72} \\ \\ R = 3 \\ \\ A \: = \: 72 \\ \\ A3 \: = \: A {r}^{2} = 72 \times 3 \times 3 \\ \\ \\ Hence \: , \: A3 \: = \: 648 \: \: \: \: \: \: \: Ans.
4 0
4 years ago
Other questions:
  • The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
    11·1 answer
  • What is the product?<br> 3x[-6 -14 -11 -9]
    11·1 answer
  • Alison has $4 less than twice the amount Ben has. Which expression represents Alison’s amount if Ben has m dollars?
    6·2 answers
  • How much 50% sugar syrup can you make if you have x grams of sugar ? HELP!!!!!!!!!!!!! I WILL GIVE 13PT
    14·1 answer
  • What does an adjacent angle equal???
    8·2 answers
  • What is the solution to the following system of equations?
    10·1 answer
  • What do you notice when you look at the table of<br> values?
    14·1 answer
  • A circle has a diameter of 8 cm. What is its radius?<br><br> No Links!
    8·1 answer
  • A racerunner is 26. 7 cm long. How much less than a meter is this?
    11·1 answer
  • Suppose that a single die with 6 sides (numbered 1, 2, 3, ... , 6) is rolled twice. what is the probability that the sum of the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!