by what number should [(-5/7)²]³ be divided to obtain (-5/7)⁶
Answers
Answer:
1
Step-by-step explanation:
We use the exponent rule
So [(-5/7)²]³ equals to (-5/7)⁶
Therefore we write the equation (-5/7)⁶/x = (-5/7)⁶
Solving x = 1
Step-by-step explanation:
By what number should -15/36 be divided to get -5/7?
11 Answers

Aditya Arora, studies at The Chintels School (2022)
Answered 2 years ago
It's simple!
Let the number which is to be divided be x.
Then, according to question,
-15/36 ÷ x = -5/7 ( Now solve the equation )
x = -15/36 * -5/7 ( Solve it and you'll get your answer!)
For more sophisticated questions like your question , you can take some simple values.
For instance, you can replace -15/36 by 20 and -5/7 by 4. Now the question would become *What number should be divided by 20 to get 4?
Now use some logic and show your teacher the answer!
By Aditya
2.1K views
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Charles Holmes, Bachelors of Science, Financial Markets & Mathematics (1990)
Answered 10 months ago · Author has 7.2K answers and 2.6Manswer views
x={7/12} in the simplest form
PREMISES
y=[(-15/36)/x=-5/7]
CALCULATIONS
y=[(-15/36)/x=-5/7]
x(-15/36)/x=-5/7x
-15/36=-5/7x
-15/36(-7/5)=x
x=(-3×-7)/(36×1)
x=
7/12 in the simplest form
PROOF
If x=7/12, then the inverse of the statement (-15/36)/x=-5/7 returns
yx=-15/36
-5/7(7/12)=-5/12 (Cancel the common factor 7)
-5/1(1/12)=-5/12 and
-5/12=-5/12 establishes the root (zero) x=7/12 of the mathematical statement -15/36/x=-5/7
C.H.
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Max Coates, Self-taught software developer
Answered 2 years ago · Author has 105 answers and 64.7Kanswer views
(-15/36)/X=-5/7
or
-0.416666667/X=-0.714285714
-0.416666667=-0.714285714X
now to get X
-0.416666667*(1/0.714285714)
=-0.58333333…
proof
-15/36*-0.5833333=-5/7
244 views

Mary McQuinn, B.A Mathematics and Economics, University College Dublin (1984)
Answered 2 years ago · Author has 149 answers and 47.7Kanswer views
Let x be the number. Then
-15/36 / x = -5/7
5x = 105/36
x = 21/36
730 views
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Giorgos Greece, Student
Answered 2 years ago
You have just to solve this equation
(- 15/36)/x=-5/7<=>
-15/36x=-5/7<=>
-15*7=-36*5x<=>
-105=-180x<=>
x=7/12
195 views