Match each fraction to a reasonable estimate
(-3/13)
(-1/4)
(-6/11)
(-3/4)
00
(-7/9)
(-1/2)
イ) Intro
!
Done
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Step-by-step explanation:

We'll drop all the minus signs, since they don't contribute anything but distraction.

When numerators or denominators are relatively large, changing their value by 1 unit will have a relatively small effect on the value of the fraction. For example, ...

  3/13 ≈ 3/12 = 1/4

If we compare the decimal values of these fractions, we see that ...

  3/13 ≈ 0.230769... (6-digit repeating decimal)

The closest of the offered "reasonable estimate" fractions is 1/4 = 0.25.

__

Likewise, 6/11 ≈ 6/12 = 1/2. In decimal, these fractions are ...

  6/11 = 0.54... (2-digit repeat)

  1/2 = 0.5

__

We can also increase or decrease both numerator and denominator by the same amount to get a fraction with nearly the same value. This works best when the numbers are larger.

  7/9 ≈ 6/8 = 3/4 . . . . . . both numerator and denominator decreased by 1

In decimal, these are ...

  7/9 = 0.7... (1-digit repeat)

  3/4 = 0.75

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

3.how is solving radical equations different than solving linear equations?

step-by-step explanation: