write the fraction as a expression using a negetive exponent other than -1

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

I will give you examples on how to right fractions using negative exponents"

For example we have the fraction:

16/9

This could be written as:

4*4 / 3*3 = 4^2/3^2= (4/3)^2

If you flip the function , you will get a negative exponent:

(4/3)^2 = (3/4)^-2

 

Another example is sqrt(3)/sqrt(5)

We know that sqrt(3)/sqrt(5) = sqrt(3/5)

We could write the square root as an exponent of (1/2)

Then , sqrt(3/5)= (3/5)^1/2

Now flip and change sign:

(3/5)^1/2 = (5/3)^-1/2

 

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

A fraction is of the form p/q where p and q are any  integer (or rational number)  but q is not  equal to zero.

To write a fraction using negative exponent.

5^-2/2^-3 = 8/25, as 5^-2 = 1/5^2 =1/25 and 2^-3 = 1/2^3 = 1/8

3/2 = (8/27)^(-1/3)

 

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