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
What reaction did Pocahontas's people have to her helping the Jamestown colonists?
Scrat [10]

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation:

7 0
3 years ago
People travel by bus or by train from hiraddug station on tuesday 420 people travelled by bus from the station the ratio of the
goldenfox [79]

The number of people travelled by train from the station on tuesday is 357.

Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.

Forming the ratio-

20 : 17 = 420 : x

Solving the ratio and proportion for the value of x

x = (420 × 17) ÷ 20

Performing multiplication in numerator

x = 7140 ÷ 20

Performing division on Right Hand Side of the equation

x = 357

Therefore, based on the information, 357 people used to travel.

Learn more about ratio and proportion -

brainly.com/question/12024093

#SPJ4

3 0
1 year ago
Question in attachment
sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a_{1}(r^{n}-1)  }{r-1}

where a₁ is the first term and r the common ratio

Here S_{8} = 1530 and r = 2, thus

\frac{a_{1}(2^{8}-1)  }{2-1} = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0
3 years ago
Perpendicular to y=1/2-1, x-intercept at4
AlexFokin [52]

Answer:

it would be Y= -2x+4

Step-by-step explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo  1/2 would change into 2/1   which is 2 and we would addd the negative sign so

Y=-2x+4

8 0
3 years ago
Read 2 more answers
Which College entrance exam has the least amount of math problems to work? ​
taurus [48]

Answer:

SAT

Step-by-step explanation:

The two main college entrance exams are the SAT and ACT which are used for almost all colleges in the United States. Between these two the SAT has a lesser focus on math in general. Instead, the SAT tends to focus more on word problems and the process taken to solve them. This does not mean that it has no math at all, there is still a math section on the SAT's but it is not as extensive as in the ACT's.

7 0
3 years ago
Other questions:
  • True or false if a function y = f(x) satisfies dy/dx = y, then y = e^x
    5·1 answer
  • Help me please :D #MathHelp - simply question! Points :D
    10·2 answers
  • Help trying to help my daughter and I have no idea where to start
    11·2 answers
  • D is not the answer. SO WHAT IS IT
    15·1 answer
  • Find the value of the variables leave answer in simplest radical form
    12·2 answers
  • What is the value of y in this equation?<br><br> 0.017y = 5.1
    8·2 answers
  • 2. Alex drew a scale drawing of an auditorium. He used the scale 3 inches = 2 feet. If the stage is 30 inches in the drawing, ho
    6·1 answer
  • 5x - y + z = -6<br> 2x + 7y + 3z = 8<br> x + 2z = 6
    9·1 answer
  • B) Given that BC = 5 cm,<br>work out the perimeter of the triangle.<br>​
    11·1 answer
  • What is the answer to <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bv%7D%7B8%7D%20%20%3D%2010" id="TexFormula1" title=" \fr
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!