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Anvisha [2.4K]
3 years ago
13

Which of the following is equivalent to the expression (9x^2y^3)(12x^-3y^5)(2xy)?

Mathematics
2 answers:
VladimirAG [237]3 years ago
6 0

Answer:

\large\boxed{(9x^2y^3)(12x^{-3}y^5)(2xy)=216y^9}\to\boxed{B.}

Step-by-step explanation:

(9x^2y^3)(12x^{-3}y^5)(2xy)=(9\cdot12\cdot2)(x^2x^{-3}x)(y^3y^5y)\\\\\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\=216x^{2+(-3)+1}y^{3+5+1}=216x^0y^9\\\\\text{Use}\ a^0=1\ \text{for any value of}\ a\ \text{except 0}\\\\=216y^9

Luden [163]3 years ago
3 0

Answer:

=216y^9

Step-by-step explanation:

the expression is:

(9x^2y^3)(12x^{-3}y^5)(2xy)

the first step is to multiply all the coefficients:

9*12*2=216

and as for the variables, to multiply them we must add the exponents, that is, the result for x will be:

x^{2-3+1}=x^0=1

so there will be no x in our result.

adding the exponents for the y variable:

y^{3+5+1}=y^9

The result is the multiplied coefficients and the variables after we add the exponents they in the original expression:

(9x^2y^3)(12x^{-3}y^5)(2xy)=216y^9

which is option B

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Please help. i need to pass.
FrozenT [24]
Plug 8 for y

8 = 2x + 4

Subtract 4

4 = 2x

Divide by 2

x = 2

Plug 16 for y

16 = 2x + 4

Subtract by 4

12 = 2x

Divide by 2

x = 6

Substitute 20 for y

20 = 2x + 4

16 = 2x

x = 8

Substitute 22 for y

22 = 2x + 4

18 = 2x

9 = x

So the values are 2, 6, 8, 9
5 0
3 years ago
Jenny says the two expressions 7a – 4 + 3a - 6 and 4a – 10 are<br> equivalent? Is she correct?
zavuch27 [327]

Answer:

no she is wrong

Step-by-step explanation:

7a-4+3a-6=  10a-10 therefore they are not equal

5 0
3 years ago
Read 2 more answers
What is 2x-3=4(x-5)? And also what is 2x squared=50?
Ierofanga [76]
2x - 3 = 4(x - 5)
2x - 3 = 4x - 20
4x - 2x = 20 - 3
2x = 17
x = 8 1/2

2x² = 50
x² = 25
x = \pm√25
x = \pm5


6 0
3 years ago
Show that 551 is a rational by writing it in the form a/b, where a and b are integers
igor_vitrenko [27]

Answer:

  551/1

Step-by-step explanation:

  551 = \dfrac{551}{1}

__

Any integer can be written as a rational number with a denominator of 1.

3 0
3 years ago
Pls help me to solve this
zloy xaker [14]

Answer:

see below

Step-by-step explanation:

19-3 will be greater

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18-3 = 16

1/2 * (19-3)

Using PEMDAS

We do parentheses first

1/2 ( 16)

Then multiply

8

4 0
3 years ago
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