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mel-nik [20]
3 years ago
5

Rewrite the expression using only positive integer exponents.

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

So we got:

\left(m^{\frac{2}{3}}n^{\frac{-1}{3}}\right)^6

m^4\left(n^{\frac{-1}{3}}\right)^6\\

More attention for (n^{\frac{-1}{3}}\right))^6\\

n^{-2}

\frac{1}{n^2}

Join:

m^4\frac{1}{n^2}

\frac{1\cdot \:m^4}{n^2}\\\frac{m^4}{n^2}

Therefore, the answer is \frac{m^4}{n^2} , letter A

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A dry cleaner charges $18 to clean 4 pairs of pants.   How many pairs of pants can be cleaned for $27 at the same rate?
blondinia [14]

4 pairs of pants for $18.

Divide price by quantity to get the cost of 1 pair of pants:

18 / 4 = 4.50 per pair.


Divide 27 by 4.50 to find number of pairs:

27 / 4.5 = 6

6 pairs of pants can be cleaned for $27.

5 0
3 years ago
Which step should be completed first in the following problem 4(27÷3²)
Yakvenalex [24]

Answer:

3²

Step-by-step explanation:

We have to use BPEMDAS Order of Operations:

B - Brackets

P - Parenthesis

E - Exponents

M - Multiply

D - Divide

A - Addition

S - Subtraction

We use this order left to right. Since we have parenthesis, we look at that first. Inside, we have division and exponents. Since exponents come first, we have to evaluate 3² first.

7 0
3 years ago
Read 2 more answers
Write the equatoin of a graph that has Roots of x={-2,0,4} and has a point of (-1,10)
zheka24 [161]

Step-by-step explanation:

to have "roots" means that the function delivers 0 as function result for these values of x.

so,

f(x) = 0 for x = -2, x = 0 and x = 4

we can build this function as a product of factors.

each factor is an expression of x that turns 0 for the given value of x.

what is the simplest expression of x that turns 0, when x = -2 ?

well : x + 2

as you can easily see, this is 0, when x = -2.

and the easiest existing of x that is 0, when x = 0 ?

totally simple : just x.

and then x - 4 for x = 4

so, our function is

f(x) = x(x + 2)(x - 4)

but : this is one of infinite possibilities.

let's see what happens, if we use the x coordinate (-1) of the given point (-1, 10).

we know, the result must be 10.

-1×(-1 + 2)(-1 - 4) = -1×1×-5 = 5

aha ! so, in order to get 10 instead of just 5 we must multiply the whole thing by 2.

as n×0 is always still 0, this does not change our 0 points (or roots).

so, our full function is :

f(x) = 2x(x + 2)(x - 4)

or, if you need the function as a polynomial, we need to do the multiplications :

f(x) = 2x(x² - 4x + 2x - 8) = 2x(x² - 2x - 8) = 2x³ - 4x² - 16x

3 0
2 years ago
Please help and also include an explanation so I know how you got the answer.
Nastasia [14]

Answer:

x = 15

Step-by-step explanation:

We know that 4x° + 8x° make a straight angle of 180°.

4x° + 8x° = 180°

12x° = 180°

12x = 180

x = 180/12 = 15

4 0
2 years ago
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Find the value of 5y-11 given that -5y=-45
Vlada [557]

Answer:

34

Step-by-step explanation:

-5y=-45

y=-45/-5

=9

y=9

then

5y-11=5×9-11

=45-11

=34

6 0
3 years ago
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