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
dexar [7]
3 years ago
13

Which expression is equivalent to (x^-6/x^2)^3

Mathematics
2 answers:
goldenfox [79]3 years ago
8 0
For this problem, just apply the laws of exponents. When dividing variable with the same base, just subtract their exponents. Hence, x^-6 divided by x^2 would be x^-8. Then, multiply the exponent with 3, becoming x^-24. Or, in reciprocal form, 1/x^24.
ahrayia [7]3 years ago
5 0

Answer

Find the expression equivalent to

= (\frac{x^{-6}}{x^{2}})^{3}

To prove

The expression given in the question be

= (\frac{x^{-6}}{x^{2}})^{3}

Now using the properties of the exponent.

The quotient of powers property and tells us that when you divide powers with the same base you just have to subtract the exponents.

i.e

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

Apply this properties in the above

= (x^{-6-2})^{3}

= (x^{-8})^{3}

Now using the property

To find a power of a power you just have to multiply the exponents.

i.e

(ab)^{2} = a^{2}. b ^{2}

Apply this property in the above

= x^{-24}

it is also written as

= \frac{1}{x^{24}}





You might be interested in
Hii guys I am riyaz aly​
lesya [120]
Hello im Esmerallda
How are u
6 0
3 years ago
Which inequality represents the<br> graph below?
Wittaler [7]

Answer:

The first choice is correct

3 0
3 years ago
Read 2 more answers
Please help, this is due today at 3PM
Agata [3.3K]
It decreases by -.4 over 1
6 0
3 years ago
Read 2 more answers
What is 1 2/3 as an improper fraction
nataly862011 [7]
Hi there! To turn a mixed number into a improper fraction we multiply 1 by 3 and add 2. 1 2/3=1×3+2/3=5/3. Therefore, 1 2/3 as an improper fraction is 5/3.
6 0
3 years ago
Wilhema bought 6 bars of soap for $12. The next day, Sophia bought 10 bars of the same kind of soap for $20. What is the cost of
kaheart [24]

Answer:

$2

Step-by-step explanation:

To get this number you can divide the cost by the amount of bars of soap.

12/6=2

20/10=2

Hope this helps!


8 0
3 years ago
Other questions:
  • The annual health care costs for two new companies that opened in the year 2000 are shown on the graphs below.
    12·2 answers
  • I really need help with this geometry <br> ASAP
    13·1 answer
  • 0.5x10power5 equals
    6·1 answer
  • A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on
    14·1 answer
  • How do you convert a percent to a number?
    12·2 answers
  • 3/4 is 75% of what number?<br> This is proportions BTW
    9·2 answers
  • Help me out pleaseee !! ​
    7·2 answers
  • On his last credit card bill, Frank paid a variable finance rate of 1.5 percent on the first $500, and 1 percent
    10·1 answer
  • How to do this question plz answer ​
    10·1 answer
  • Which statement best describes the areas and perimeters of the figures below?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!