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
3241004551 [841]
2 years ago
13

How to simplify fractions with negative exponents in the denominator and numerator?

Mathematics
1 answer:
zzz [600]2 years ago
8 0

Answer:

\displaystyle\frac{x^{-a}}{x^{-b}} = x^{b-a}

Step-by-step explanation:

We have to write the rule  to simplify fractions with negative exponents in the denominator and numerator.

If we have positive exponents, the simplification takes place as following:

\displaystyle\frac{x^a}{x^b} = x^{a-b}

The powers of the same base of numerator and denominator are subtracted.

In case of negative exponents, the simplification takes place in the following manner:

\displaystyle\frac{x^{-a}}{x^{-b}} = x^{-a-(-b)} = x^{-a+b} = x^{b-a}

The powers of the same base of denominator and numerator are subtracted.

You might be interested in
The temperature dropped 6 °F every hour for 6 hours. What was the total number of degrees the
morpeh [17]

Answer:

This problem is a rate times time problem.  To find the total amount, you must take the rate per unit of time, and multiply it by the given unit of time

Step-by-step explanation:

-5degrees/hr x 6hr=-30 degrees

6 0
2 years ago
Find the solution to the following system using substitution or elimination:​
raketka [301]

Answer:

B) (3,1)

Step-by-step explanation:

y = -2x + 7

y = 3x - 8

3x - 8 = -2x + 7

combine like terms:

5x = 15

divide both sides of the equation by 5:

x = 3

y = 3(3) - 8 = 1

4 0
3 years ago
In ADEF, the measure of
MrMuchimi

Answer:

X= 51.71

You can use a protractor

6 0
3 years ago
The table shows the prices of various grocery items what is the cost of three cans of chicken broth and two cans of vegetable so
Tamiku [17]

Answer:

what table add a picture of it!

Step-by-step explanation:

6 0
3 years ago
Stacy spent £20 on ingredients for bread.
Liula [17]

Answer:

Stacy made £25.2 from the 18 loaves of bread. So She made £5.20 as a profit.

Step-by-step explanation:

18 loaves of bread × £1.4 = £25.2 Round it up = £25

£25.20 - £20 = £5.20 Round it up = £5

Stacy Made about £5 as profit.

8 0
2 years ago
Other questions:
  • Just answer #4 (Trigonometry) THANK YOU!!!
    10·2 answers
  • -1 + 1.9x = -6.4 + 9.2x
    8·2 answers
  • Write the areas of the three triangles in terms of a, b, and<br> c.
    14·1 answer
  • What would happen if osteocytes were damaged
    6·1 answer
  • Help pleaasssseeee (use picture) it’ll only take some time out of your day but will be a big impact on my day thank you hope you
    13·1 answer
  • Cindy bought 20 stamps.This is 5 times the number of postcards that yoshi bought. How many postcards did yoshi buy?
    5·1 answer
  • Given the congruent figures solve for the missing variable
    13·1 answer
  • What is a name for the marked angle?<br> Picture given
    11·1 answer
  • What is the relationship<br> between a preimage and its image after a<br> dilation?
    7·1 answer
  • X^+17x+72=12 factoring quadratic equation
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!