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
Anni [7]
3 years ago
12

How do you simplify:

%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20" id="TexFormula1" title=" \sqrt{(125 ^{2} } ) ^{ - \frac{1}{3} } " alt=" \sqrt{(125 ^{2} } ) ^{ - \frac{1}{3} } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nady [450]3 years ago
5 0

Answer:

\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}

Step-by-step explanation:

\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125

You might be interested in
A dolphin dove 31 meters below the surface of the water to reach a fish. It traveled 16% of the total distance every second.
photoshop1234 [79]
It traveled 14.88 meters after 3 seconds

7 0
3 years ago
Read 2 more answers
Given the diagram, solve for the blanks below:
Papessa [141]

Answer:

go on photomath

Step-by-step explanation:

5 0
3 years ago
Is 6+2 +4x equivalent to 6- ( 2-4x) . if not , why not ?
Xelga [282]
Well lets solve for both.
6 + 2 + 4x
Combine like terms.
8 + 4x
Now solve the other one.
6 - (2 - 4x)
Distribute.
6 - 2 + 4x
Combine like terms.
4 + 4x.
These equations are not equivalent because instead of adding two, like in the first one, the second problem is subtracting. So you get 8 + 4x and 4 + 4x. I hope this helps love! :)
6 0
3 years ago
How are polynomials like and unlike monomials? Provide an example of a monomial and an example of a polynomial. How does the fol
Ainat [17]
A polynomial is the sum of at least one term. For example, x^3+1 is a polynomial. A monomial is a polynomial with only one term, such as 2x^2. A binomial is a polynomial with two terms, and a trinomial is one with three terms. The example you gave is a trinomial (which is also a polynomial). Degree of a polynomial is the largest sum of variable powers in any term of the polynomial. So, for example, x^2 y has degree 3, and x^3+x^2 also has degree 3. A sixth degree polynomial would be x^6-2x+1, for example.
8 0
3 years ago
How many ways can nine skiers finish in first, second, and third place? "fill in the blank text field 1"?
Yuri [45]
The answer would be 9 Permutation 3 (or 9P3) which is equal to 504 possible ways.
3 0
3 years ago
Other questions:
  • Todays temperature is supposed yo be 5.c warmer than yesterday.if yesterday’s temperature was -10.c what is today’s temperature
    14·2 answers
  • Can anyone please help me with this problem? I got my answer incorrect, and I don’t understand why.
    9·1 answer
  • In a presentation about measuring mass, one of your classmates states, "Two objects of the same size will always have the same m
    12·2 answers
  • I NEED HELP ASAP please ​
    12·1 answer
  • Use the number line.what fraction of 1 foot is 3 inches? what fraction of 1 yard is 3 inches​
    9·1 answer
  • 100 POINTS ANSWER FAST
    6·2 answers
  • I just need the top question. Thank you to whoever answers this in advance
    15·1 answer
  • Find the value of x round to the nearest tenth 17 to 47
    6·1 answer
  • Select the following inequality and graph its solution set: 8(1-4x) >40
    5·1 answer
  • A student ties a string around a weight and swings the weight in a circle around her body. If the student
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!