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iris [78.8K]
3 years ago
9

Pls help me with this

Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

Answer:

  1/(x^(17/12)y^(5/3))

Step-by-step explanation:

We assume you want to simplify the expression. The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

Using these "all at once", we can add up the exponents of each of the variables:

  x^(-2/3 -2·0 -(1/2)(3/2))·y^(-2/3-(1/2)·2) = x^(-2/3-3/4)y^(-2/3-1)

  = x^(-17/12)y^(-5/3)

  = \dfrac{1}{x^{\frac{17}{12}}y^{\frac{5}{3}}}

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*Silly and/or spam answers will not be tolerated*
stepladder [879]

Answer:

-1/8

Step-by-step explanation:

lim x approaches -6     (sqrt( 10-x) -4) / (x+6)

Rationalize

   (sqrt( 10-x) -4)      (sqrt( 10-x) +4)

    ------------------- * -------------------

       (x+6)                 (sqrt( 10-x) +4)

We know ( a-b) (a+b) = a^2 -b^2

a= ( sqrt(10-x)   b = 4    

(10-x) -16

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

(x+6) (sqrt( 10-x) +4)    

-6-x

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

(x+6) (sqrt( 10-x) +4)

Factor out -1 from the numerator

-1( x+6)

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

(x+6) (sqrt( 10-x) +4)

Cancel x+6 from the numerator and denominator

-1

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

(sqrt( 10-x) +4)

Now take the limit

lim x approaches -6    -1/ (sqrt( 10-x) +4)

                                      -1/ (sqrt( 10- -6) +4)

                                      -1/ (sqrt(16) +4)

                                      -1 /( 4+4)

                                        -1/8

5 0
3 years ago
Read 2 more answers
Solve 2x2 - 6x = -8.
erma4kov [3.2K]

Answer:

x=2

Step-by-step explanation:

8 0
3 years ago
The sum of a number and 3 is 8
Doss [256]

Answer:

5

Step-by-step explanation:

5 0
2 years ago
Amanda makes colored paper cone cups to serve nuts at a charity event. The height of each paper cone is 15 centimeters, and the
allsm [11]

Answer:

V=261.80 \ cm^3

Step-by-step explanation:

-The volume of a cone is given by the formula:

V=\pi r^2 \frac{h}{3}

Where:

  • r is the cone's radius.
  • h is the cone's height.

#We substitute for r and h in the formula to solve for V:

V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi \times 5^2\times 10\\\\=261.80\ cm^3

Hence, the each cone's volume is 261.80 \ cm^3

8 0
3 years ago
If you work:
faltersainse [42]
1920$


Step by step explanation:
6 0
3 years ago
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