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TiliK225 [7]
3 years ago
13

How to simplify an expression with a negative exponent

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

Step-by-step explanation:

An negative exponent seems hard, but it really isn't!

Let's say you have 2^{-3}

All you do is inverse the expression, or find the reciprocal. When you do this the exponent changes to positive .  

\frac{1}{2^{3} }

2^{3} simplifies into 8. So, the result is

\frac{1}{8}

Hope this helps! Please mark as brainliest, thanks!

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Sorry for all the questions but i also need these answered but i have no idea how to answer them..:)
Allisa [31]

Answer:

did you try 12÷ by the decimal form of 3/4

4 0
3 years ago
A cube has a volume of 512 cubic mm. If all sides of the cube ae divided by 4, what will the resulting volume be?
kotegsom [21]
Volume of a cube = s³ 

Therefore, s³ = 512, meaning that s = 8.

The question asks what the resulting volume would be if all sides of the cube were divided by 4.

The current side measures 8, and we know that 8/4 = 2.

Thus, the resulting volume = s³ = 2³ = 8 cubic mm.
6 0
3 years ago
Jacinta borrowed sh. 100,000 from her cooperative society. She pays 1% interest of the outstanding balance every month. If she p
vredina [299]

The amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

<h3>What is interest?</h3>

Interest is the finance charge that a borrowers incurs to service a loan.

Interest is based on the outstanding balance at the end of the payment period.

<h3>Data and Calculations:</h3>

Principal loan = sh. 100,000

Interest on outstanding balance = 1%

Monthly payment of principal and interest = sh. 10,000

Period of repayment = Monthly

<h3>Amortization Schedule:</h3>

                      Beginning     Interest   Payment   Ending Balance

1st month    sh. 100,000    sh. 1,000    sh. 10,000    sh. 91,000

2nd month    sh. 91,000       sh. 910    sh. 10,000     sh. 81,910

3rd month      sh. 81,910        sh.819    sh. 10,000    sh. 72,729

4th month    sh. 72,729       sh. 727    sh. 10,000    sh. 63,456

5th month   sh. 63,456       sh. 636    sh. 10,000    sh. 54,092

6th month   sh. 54,092       sh. 541     sh. 10,000    sh. 44,633

7th month   sh. 44,633       sh. 446    sh. 10,000    sh. 35,079

8th month  sh. 35,079        sh. 351     sh. 10,000    sh. 25,430

9th month  sh. 25,430       sh. 254     sh. 10,000    sh. 15,684

10th month sh. 15,684        sh. 157     sh. 10,000      sh. 5,841

11th month    sh. 5,841         sh. 58      sh. 5,899       sh. 0

Total interest paid =       sh. 5,899

Thus, based on the payment schedule above, the amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

Learn more about loan interests at brainly.com/question/24576997

#SPJ1

8 0
2 years ago
If M = 5x2 + 7x - 4 and N = -3x2 - 4x + 5, then M - N equals
Alinara [238K]

Answer

8x^2+11x-9

Step-by-step explanation:

That is the answer :))

4 0
3 years ago
What is an equation of the line that passes through the point (8,-5) and is parallel
HACTEHA [7]

Answer:

y=-5/4x+5

Step-by-step explanation:

Hi there!

We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)

Parallel lines have the same slopes

First, we need to find the slope of 5x+4y=24.

We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)

subtract 5x from both sides

4y=-5x+24

divide by 4 on both sides

y=-5/4x+6

since -5/4 is in the place where m should be, it is the slope.

So the equation of the line parallel to it will also have -5/4 as the slope

Here's the equation so far in slope-intercept form:

y=-5/4x+b

we need to find b

because the equation will pass through (8,-5), we can use it to solve for b

substitute 8 as x and -5 as y

-5=-5/4(8)+b

multiply

-5=-10+b

add 10 to both sides

5=b

substitute 5 as b into the equation

<u>y=-5/4x+5</u>

That's the equation of the line parallel to 5x+4y=24.

Hope this helps!

6 0
3 years ago
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