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
aleksley [76]
3 years ago
9

The quotient rule for exponents states that bm bn=​_______, b≠0 . When dividing exponential expressions with the same nonzero​ b

ase, _______ the exponents.
Mathematics
1 answer:
wariber [46]3 years ago
3 0

Answer:

The quotient rule for exponents states that b^{m}\div b^{n}=b^{m-n}.

When dividing exponential expressions with the same nonzero​ base, <u>subtract</u> the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

  • x^{0}=1
  • (x^{m})^{n}=x^{mn}
  • x^{-n}=\frac{1}{x^{n}}
  • x^{m}\cdot x^{n}=x^{m+n}
  • \frac{x^{m}}{x^{n}}=x^{m-n}

The quotient rule for exponents states that:

b^{m}\div b^{n}=b^{m-n}.

When dividing exponential expressions with the same nonzero​ base, <u>subtract</u> the exponents.

You might be interested in
A(n) ______ is a letter or symbol that represents some unknown value.
Nuetrik [128]
The answer is "variable"

4 0
3 years ago
Dylan's expenditures for each of the past six months were: March $1,248.59; April, $1,365.38; May, $1,024.30; June, $1,100.40; J
ivann1987 [24]

Answer:

The average monthly expenditure is 1,155.35 $.

Step-by-step explanation:

The average of any sequency is given by the sum of it's individual parts divided by the number of parts it has. So in this case the average of monthly expenditure will be the sum of all individual expenditures divided by the number of months. The question can be solved like this:

average = (March+ April + May + June + July+ August)/6

average = (1,249.59 + 1,365.38 + 1,024.3 + 1,100.4 + 992,4 + 1,200.02)/6

average = 1,155.35 $

3 0
3 years ago
Read 2 more answers
Given a polyhedron with 12 faces and 30 edges, how many vertices does it have?
larisa86 [58]

Answer:

It should have 20 vertices, and the name is dodecahedron

8 0
3 years ago
What is the value of x when 2x+3=3x-4
slavikrds [6]
2x+3=3x-4
try to isolate the x term
you must do the same thing to both sides or else it won't be equal anymore

2x+3=3x-4
add 4 to both sides
2x+3+4=3x+4-4
2x+7=3x+0
subtract 2x from both sides
2x-2x+7=3x-2x
0+7=x
7=x

the answer is x=7
6 0
3 years ago
Read 2 more answers
Write the following number as ratios of integers
Grace [21]

We're going to "cut" the repeating part here in a few steps. First, we're going to put the number in a variable:

x=-2.0\overline{42}

Next, to get rid of the negative, we can multiply either side by -1 to get

-x=2.0\overline{42}

Now, we won't actually use this -x directly; instead, we want to create two new values, one by multiplying either side by 10:

-10x=20.\overline{42}

and the other by multiplying either side by 1000:

-1000x=2042.\overline{42}

Next, we can get rid of the repeated part of the number by subtracting -10x from -1000x:

-1000x-(-10x)=2042.\overline{42}-20.\overline{42}\\ -1000x+10x=2022\\ -990x=2022

And finally, we can divide either side of the equation by -990 to find that

x= \frac{2022}{-990}=-\frac{2022}{990}\div \frac{6}{6}=-\frac{337}{165}

5 0
3 years ago
Other questions:
  • Write the equation of the circle with center (0, 0) and (−4, 5) a point on the circle.
    13·1 answer
  • In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers, they win 40,000 dollars. Othe
    10·1 answer
  • A state lottery randomly chooses 8 balls numbered from 1 through 37 without replacement. You choose 8 numbers and purchase a lot
    5·1 answer
  • Ann opened a new savings account with an initial deposit of $250. Which combination will result in a zero in balance in Ann's ac
    15·1 answer
  • What does 1/2•4/9 equal?
    10·1 answer
  • What is the value of x?<br><br> x = 45°<br> x = 65°<br> x = 70°<br> x = 115°
    15·2 answers
  • Can someone help me with this
    8·2 answers
  • Answer correctly asap don’t troll!!!
    6·1 answer
  • Find the height of the giraffe in the diagram. Show your work below.​
    11·1 answer
  • The price of a pair of Jordans was reduced from $200 to $160. By percentage was the price reduced
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!