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USPshnik [31]
2 years ago
15

Please help, I need the answer ASAP! This is timed... Which expression is equivalent to 3x^-6y^-3 / 15x^2y^10 ? Assume x≠0, y≠0.

Mathematics
2 answers:
Ket [755]2 years ago
7 0

Answer:

1/(5x^8y^13)

Step-by-step explanation:

To simplify this exponential expression we must use some of the laws of exponents, specifically the quotient law.  The quotient law states that if the base is the same and you're dividing we subtract the exponents and so: \frac{a^m}{a^n}= a^{m-n}

Therefore:

\frac{3x^{-6}y^{-3}}{15x^2y^{10}} =\frac{x^{-6-2}y^{-3-10}}{5}=\frac{x^{-8}y^{-13}}{5}\\  \\\frac{1}{5x^8y^{13}}


Yakvenalex [24]2 years ago
3 0

Answer:

b

Step-by-step explanation:

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Add -3 5/6 + 5 3/7<br><br> A.) 1 25/42<br> B.) 2 8/13<br> C.)-9 11/42<br> D.) 1 27/42
Fantom [35]

Answer:

A. 1 25/42

Step-by-step explanation: =-3 5/6 +5 3/7

= (-23/6)+ (38/7)

=(-161+228)/42

=-67/42

8 0
3 years ago
Select all the factors roots of x^3 +2x^2-16x-32
Ivanshal [37]

Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.

x^3 + 2x^2 - 16x - 32

(x^3 + 2x^2) + (-16x-32) ... pair up terms

x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group

x^2(x + 2) - 16(x + 2) ... factor -16 from the second group

(x^2 - 16)(x + 2) .... factor out (x+2)

(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16

---------------------------

The original expression completely factors to (x - 4)(x + 4)(x + 2)

The three factors are x - 4  and  x + 4   and   x + 2

5 0
3 years ago
Read 2 more answers
PLEASE HELP ME WITH THIS QUESTION!!
marin [14]

Answer:

+$90;

$1,600

Step-by-step explanation:

The equation, y = 1600 + 90x, given to us tells us much about the situation described above.

y = total pay

x = number of copies of Math is fun

1600 = y-intercept, that is the starting value or the pay he gets only if Sam sold 0 copy of Math is fun. That is, when x = 0, y = 1,600.

90 = unit rate or the change in the total pay for each copy of Math is fun that Sam sells.

Therefore, our answers would be:

+$90, and $1,600

5 0
3 years ago
Plz help i will mark brainiest
Evgen [1.6K]

Answer:

its b

Step-by-step explanation:

Rearrange the Pythagorean Theorem to find the missing side. The Pythagorean Theorem is:

c2=a2+b2

where c is the hypotenuse and a and b are the sides.

√(26^2- 24^2) = 10

6 0
3 years ago
What’s the answer plz!!
Karolina [17]
I think its the secondd
8 0
3 years ago
Read 2 more answers
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