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
Someone please help me, this test determines if I pass or not.
Butoxors [25]

Answer:

Your answer is C :)

4 0
2 years ago
6th grade help me Algebra I think
scoundrel [369]

n - 7 = 21, n= 28 should be right bc the difference of 28 and 7 is 21


6 0
3 years ago
Quinn and her friends were handing out flyers for their lemondare stand. There were 35 friends and they each handed out 126 flye
shutvik [7]
If Quinn is included in the 35 friends the answer would be 35x126=4410.
4 0
3 years ago
Read 2 more answers
Plz help asap !!! The high school jazz band is selling homemade leather bracelets at a local craft fair to raise money for a tri
coldgirl [10]

Answer:

b. y=2x-200

c. there will be no profit because 2 times 100 = 200, meaning they only earned back the money they already spent.

d. (domain or y-values) minimum: -200 maximum: 320

(range or x-values) maximum: 260

3 0
3 years ago
How many steps are there in the problem-solving process
Alex73 [517]

Answer:

Step-by-step explanation: There are four steps

8 0
3 years ago
Other questions:
  • 313.92 ÷ 6.4 + 200.4 What is the value of the expression?
    15·1 answer
  • The line y=-1/3x+4 passes through which of the following points
    9·2 answers
  • I need the answer right now
    14·1 answer
  • Evaluate A+4 when a=7
    6·1 answer
  • Write two number that multiply to the value on top and add up to the value on the bottom
    13·1 answer
  • BEST ANSWER GETS BRANLIEST DON'T ANSWER FOR FREE POINTS
    10·2 answers
  • Help will mark as brainliest
    8·2 answers
  • Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?
    10·1 answer
  • Can you simply these fractions?
    14·2 answers
  • Hey kiddos please help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!