Simplify (5n^4)^−3. Assume n ≠ 0.

1 answer:

6 0

Since the exponent (-3) is negative, flip the expression to: 1/(5n^4)^3.

Notice how the negative exponent becomes positive as you flip it.

Now evaluate the powers in the denominator: 1/((5^3)(n^4)^3

I separated the constant (5) from the variable (n) to show you how the powers are evaluated.

1/(5x5x5)(nxnxnxn)(nxnxnxn)(nxnxnxn)
—-> the power four means that there are 4 multiples of n in the parentheses. The power 3 corresponds to how many groups.

1/(125)(n^12)

= 1/125n^12

You might be interested in

Which of the following polynomials is in standard form?

arsen [322]

A........................

5 0

3 years ago

Suppose a bag contains 4 white chips and 6 black chips. What is the probability of randomly choosing a white chip, not replacing

Marysya12 [62]

There are 10 chips altogether. 4 of them are white.
4/10 is the chance of lifting out a white chip
There are 3 of them left and 9 chips altogehter.
4/10 * 3/9
12/90
4/30
2/15

Comment
(my edit) it is not that 2/15 is wrong (although it is not entirely right).
1/3 is the correct answer if you assume that what happened during the first draw has nothing to do with what will happen on the second. It is like saying if you throw 11 heads in a row with a fair coin, what are the chances of throwing a heads on the 12th throw? The answer is 1/2. That is the same kind of question you have asked.

The two of us who have responded have really responded to what are the chances of drawing 2 white chips. The question really does not restrict us in a way that prevents us from saying that. I'll stick with
B <<<< answer
but I think it would be nice if the writer of the question made it clear that 1/3 should be the proper answer. I am glad you came back and posted the right answer. It makes me think.

The semi right answer is B <<<<----

If my reasoning bothers anybody, I'll reedit again. I'm only leaving it because sometimes a mistake is more instructive than a given answer.

5 0

3 years ago

Read 2 more answers

Question 6 of 10

Maksim231197 [3]

Answer:

(2.5 , 3.5)

Step-by-step explanation:

We can use the midpoint formula . Here the points are , (2,2) and (3,5) .

• Using Midpoint Formula :-

⇒ M = { (x1 + x2)/2 , (y1 + y2)/2 }

⇒ M = ( 2+3/2 , 5+2/2 )

⇒ M = ( 5/2 , 7/2 )

⇒ M = ( 2.5 , 3.5 )

<h3>Hence the midpoint is (2.5 , 3.5)</h3>

6 0

3 years ago

Can someone plzz help me with this 86points

just olya [345]

Answer:I would do the same thing which is copy and paste because its very

difficult to find out how to do it but ill keep trying

Step-by-step explanation:

7 0

3 years ago

Help and get 6 points!

timofeeve [1]

10 hours was the full time she painted

7 0

3 years ago

Read 2 more answers