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Mamont248 [21]
2 years ago
13

Simply the following expression

Mathematics
1 answer:
Lana71 [14]2 years ago
5 0

Answer:

\dfrac{4r^6}{st^8}

Step-by-step explanation:

(4r^{-2}st^4)(r^{-4}st^6)^{-2} =

Use laws of exponents to simplify the right set of parentheses.

= (4r^{-2}st^4)(r^{8}s^{-2}t^{-12})

Now use the law of exponents for a product of powers with the same base.

= 4r^6s^{-1}t^{-8}

Finally, use the definition of a negative exponent.

= \dfrac{4r^6}{st^8}

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Step-by-step explanation:

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3 years ago
Please help me answer the question
Rufina [12.5K]

Answer:

y=-x+2

Step-by-step explanation:

The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

From the graph, we can see that the y-intercept is at (0,2) so the equation becomes y=mx+2.

Other points on the graph include (1,1) and (2,0). Plugging (1,1) into the slope-intercept equation, we get 1=(m)1+2. Solving this will give us m=-1.

We can confirm this by plugging m=-1 into the equation along with the point (2,0); 0=(-1*2)+2. It checks out!

So our final equation in slope-intercept form will be y=-x+2

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3 years ago
Solve the equation by Square Root Method 16n^2-25=0
Anton [14]

Answer:

Step-by-step explanation:

16n^2-25=0

16n^2=25

n^2=25/16

n=+-5/4

5 0
2 years ago
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Which the slope-intercept form of the equation of each line the slope and y-intercept?
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6 0
3 years ago
1/3 (x + 4 ) = 20 wt the answer
sashaice [31]

Answer:

x = 56

Step-by-step explanation:

To start, distribute the 1/3 onto the x and the 4 in the parenthesis. That leaves you with

1/3x + 4/3 = 20

We want the x value by itself so we're going to subtract the 4/3 from the left and the right side, leaving us with

1/3x + 4/3 = 20 - 4/3

1/3x = 18 & 2/3 (since we're dealing with fractions, I'm going to change the 18 & 2/3 into an improper fraction just to make the next step easier.)

1/3x = 56/3

The last step is to divide the 1/3 off of the x, so x is by itself. To divide a fraction by a fraction, just flip the fraction you're dividing with and multiply.

56/3 x 3/1 = 56 (56 x 3 is 168, and 3 x 1 is 3, so when you reduce 168/3, you get 56)

So, 56 is our answer, because after dividing off the 1/3, we're left with x = 56

3 0
2 years ago
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