PLEASE HELP, WILL GIVE BRAINLIEST

Fractional Exponents and Higher Roots are a very weak point for me please HELP!!!!!!!!!!!! I will mark u as brainliest.(This is

UkoKoshka [18]

So an easy way to find these is by prime factorization. Factor the number until you can not factor any smaller. Start by dividing by smallest prime numbers like 3 or 2 for even numbers. Then look to find the correct number of roots.

Example : 4th root of 256
256
2*128
2*2*64
2*2*2*32
2*2*2*2*16
(2^4)*16
(2^4)*2*8
(2^4)*2*2*4
(2^4)*2*2*2*2
(2^4)*(2^4)
4th root of 256 = 2 × 2 = 4
Since it's an even power answer will be positive or negative. +4 or -4

A root is written as fraction power. So square root is to the power of 1/2 to the 7th power is 7*1/2 = 7/2

32^(3/5) = [32^(1/5)]^3

2^5 = 32
you can see this by prime factoring..
32
2*16
2*2*8
2*2*2*4
2*2*2*2*2
So the 5th root of 32 is 2
Then
2^3 = 8

4 0

3 years ago

Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2

Dima020 [189]

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
$y = \frac{1}{3} x + 2$
and

$y = - x - 2$

We need to graph the two equations.

Let us graph

$y = \frac{1}{3} x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
$x = 0$

$\Rightarrow \: y = \frac{1}{3} (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

$(0,2)$

When
$y = 0$
we get,

$0= \frac{1}{3} x + 2$

$\Rightarrow \: - 2 = \frac{1}{3} x$

$\Rightarrow \: - 2 \times 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

$y = - x - 2$

We again find the intercepts and plot them.

When
$x = 0$

$y = - 0 - 2$

$\Rightarrow \: y = - 2$

This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

You will get good grades so don't worry much.