answer.
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
Ivanshal [37]
1 year ago
11

What is the quotient of -8a^8b^-2/ 10a^-4b^-10 in simplified form?

Mathematics
2 answers:
postnew [5]1 year ago
7 0

Here are a few rules with exponents that you need to know:

  1. Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}

For this, divide:

\frac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=\frac{-8}{10}a^{8-(-4)}b^{-2-(-10)}=-\frac{4}{5}a^{12}b^8

<u>Your final answer is -\frac{4}{5}a^{12}b^8</u>

Alexeev081 [22]1 year ago
5 0

Answer:

A on e2020/edge

Step-by-step explanation:

You might be interested in
The length of the completed tunnel can be calculated using the equation . If the project will be completed 86 days after the TBM
bazaltina [42]
The y - intercept of an equation is the value of y when x is substituted with zero. From the given equation,
y = 25x + 225
Substituting,
y = (25)(0) + 225
y = 225
Thus, the y - intercept of the given equation is 225.
3 0
2 years ago
injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and ri
diamong [38]

Answer:

The length of the track is approximately 51.7 ft

The track has <u>three</u> sides of the square and the distance round <u>a half of a</u> complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track  = Square

The shape on the right side of the track  = Half circle

The area of the square on the the left side of the track  = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has <u>three</u> sides of the square and the distance round <u>a half of a</u> complete circle.

5 0
1 year ago
Jerome solved the equation below by graphing. log Subscript 2 Baseline x + log Subscript 2 Baseline (x minus 2) = 3 Which of the
Alina [70]

Answer:

Step-by-step explanation:

This question is too difficult

5 0
1 year ago
Read 2 more answers
What is 4973 divided by 7
Firlakuza [10]
The answer is 710.42
3 0
2 years ago
Read 2 more answers
The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.
GREYUIT [131]

Answer:

  • <u>Option A. about 100.5ft²</u>

<u />

Explanation:

Since the <em>bases</em> must not be painted, their areas are <em>not included</em> in the calculation.

The <em>surface</em> to paint, of each pillar, is equal to the lateral area of a<em> cylinder </em>with he dimensions given.

The formula for the laeral area of a cylinder is:

        Lateral\text{ }area=2\pi \times radius \times height

Substitute including the conversion factor to convert inches to feet:

        Lateral\text{ }area=2\pi \times 8in\times 1ft/12in \times 24ft=100.5ft^2

7 0
1 year ago
Other questions:
  • Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would a
    6·2 answers
  • The planetarium, which is not marked on the map, is halfway between the historic village and the science center. What are its co
    12·1 answer
  • Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
    12·2 answers
  • Two groups of students were asked how many pets they had. The table below shows the numbers for each group:
    5·2 answers
  • A mile-runner’s times for the mile are normally distributed with a mean of 4 min. 3 sec. (This would have to be expressed in dec
    7·1 answer
  • Joel maps his house and his school on a coordinate grid where each unit is 1 block. His school is at (-7, -2). His house is at (
    7·2 answers
  • For which pairs of functions is (f circle g) (x)?
    8·2 answers
  • Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancelations on different days are in
    7·1 answer
  • There are 220 students in Year 7. 15% cycle to school. 60% are driven to school. The rest walk to school. (a) How many students
    12·2 answers
  • Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 c
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!