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In-s [12.5K]
3 years ago
10

The teacher writes 10/12 on the board. He asks students to write the fraction in simplest form. Who writes the correct answer?

Mathematics
2 answers:
Sindrei [870]3 years ago
6 0
In simplest form it is 5/6
Talja [164]3 years ago
5 0
It is 5/6. I divided the numerator and denominator by 2.
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The cube root of 5 times the square root of 5 over the cube root of 5 to the 5th power
Fiesta28 [93]
(cube root of 5)  * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)

This becomes easier if we switch to fractional exponents:


  5^(1/3) * 5^(1/2)         5^(1/3 + 1/2)       5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
[ 5^5 ]^(1/3)                  5^(5/3)                 5^(5/3) 

Note that 5/6 - 5/3 = 5/6 - 10/6 = -5/6.

                                                            1
Thus,  5^[5/6 - 5/3] = 5^(-5/6)  =  --------------
                                                        5^(5/6)

That's the correct answer.  But if you want to remove the fractional exponent from the denominator, do this:

    1            5^(1/6)         5^(1/6)
---------- * ------------- = --------------    (ANSWER)
5^(5/6)       5^(1/6)              5
7 0
4 years ago
Find the inverse f(x)=6x+7
Lorico [155]

Answer:

f^{-1} (x) = \frac{x-7}{6}

Step-by-step explanation:

let y = f(x) , then rearrange making x the subject

y = 6x + 7 ( subtract 7 from both sides )

y - 7 = 6x ( divide both sides by 6 )

\frac{y-7}{6} = x

Change y back into terms of x with x = f^{-1} (x) , then

f^{-1} (x) = \frac{x-7}{6}

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timama [110]
1/5:1/3? I’m not sure..
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3 years ago
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