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
Select all that are like terms to 4x^3 y^2
Drupady [299]

Answer:

Step-by-step explanation:

Select anything that has x^3y^2 in it:

Then you get C, D,F,G

8 0
3 years ago
Round 4,589 to the thousands
AleksandrR [38]
That would be 5,000.


3 0
4 years ago
Read 2 more answers
80 is the product of Chrissy's savings and 5. Use the variable c to represent Chrissy's savings.
Natali [406]

Answer:

c = 80 ÷ 5

Or

5c = 80

Step-by-step explanation:

It's pretty self explanatory. All you have to do is convert the words into an equation.

5 0
3 years ago
Vlad tried to solve an equation step by step.<br> Find Vlad's Mistake.
d1i1m1o1n [39]

Answer:

I think that it’s correct

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Plzz help me i really need help guys
OverLord2011 [107]

Answer:

Figure 1: 226 ft^{2}

Figure 2: 111 mm^{2}

Step-by-step explanation:

For the first figure, you will split it into two rectangles. You would do 28 x 7 for the first rectangle and get 196. Then, you would do 6 x 5 for the second rectangle and get 30. You would then add these two numbers and get the area of 226 ft^{2}}.

For the second figure, you split it into one triangle and two rectangles. For the triangle, you would do 3 x 6 and then divide that by 1/2, since it is a triangle, and you get 9. For the first rectangle, you would do 10 x 7 and you would get 70. For the final rectangle, you would do 8 x 4 and get 32. You would then add all these numbers up and get the area of 111 mm^{2}.

4 0
3 years ago
Other questions:
  • six packs of 90 piece of candy all bags have exactly the same number of pieces of candy how many bags hold 195 piece of candy
    8·1 answer
  • Two thirds of a number reduced by 11 is equal to 4 more than the number. find the number. 2
    13·1 answer
  • What is 6 (5x + 2y) -3 (2x + 3y) ?
    10·2 answers
  • Urgent answer with steps
    14·1 answer
  • Line plots fractions
    7·1 answer
  • What’s the area of a cube where the length of each edge is 4 inches
    6·2 answers
  • Which shows the correct way to use expanded form to multiply 8,430 × 1,000?
    9·1 answer
  • P/3 - 2 provide an algebraic expression for p divided by 3 plus 2
    5·1 answer
  • Pleas help me!!??!!!??!!?!
    8·1 answer
  • PLEASE HELP I will mark you BRAINLIST
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!