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zhannawk [14.2K]
4 years ago
11

(

id="TexFormula1" title=" (\frac{2}{3} x^{-3} y^{4} z^{2})^{3} " alt=" (\frac{2}{3} x^{-3} y^{4} z^{2})^{3} " align="absmiddle" class="latex-formula"> 
Mathematics
1 answer:
kobusy [5.1K]4 years ago
7 0
\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------

\bf \left(\cfrac{2}{3}x^{-3}y^4z^2  \right)^3\implies \stackrel{\textit{distributing the exponent}}{\left[\left( \cfrac{2}{3} \right)^3x^{^{-3\cdot 3}}y^{4\cdot 3}z^{2\cdot 3}  \right]}\implies \cfrac{2^3}{3^3}x^{-9}y^{12}z^6
\\\\\\
\cfrac{8}{27}\cdot \cfrac{1}{x^9}y^{12}z^6\implies \cfrac{8y^{12}z^6}{27x^9}
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lawyer [7]

Answer:

a. (x^3+8)(x^2-4)

b. x=1 and x=1/2

Step-by-step explanation:

a. (x^3+8)(x^2-4) = x^5-4x^3+8x^2-32 [foil method: first,outside,inside,last]

b. use quadratic formula: -b +/- square root b^2-4ac / 2a

2=a; -3=b; 1=c

-(-3) + square root (-3)^2 - 4(2)(1) / 2(2)

3 + 1 / 4 = 4/4 = 1

3 - 1/4 = 2/4 = 1/2

7 0
3 years ago
Please help me and please explain it step by step
algol13

9514 1404 393

Answer:

  (a)  exactly two unique triangles

Step-by-step explanation:

The third angle is ...

  180° -50° -80° = 50°

Two of the angles are the same, so two of the sides are the same length. The given side measure can be either one of the two unique side lengths, giving rise to exactly two unique triangles.

6 0
3 years ago
Can someone please answer. There is only one question. There is a picture. Thank you!
mrs_skeptik [129]
There is a total of 10 marbles, of which 5 marbles are red.
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Therefore the second choice is the correct answer.
5 0
4 years ago
Read 2 more answers
PLEASE Help!!:<br> Check for understanding:
Akimi4 [234]

1)   Circumference:  C = D × π = 40 × 3.14 = 125.6

     Area:  S=r^2.\pi =(\frac{D}{2} )^2.\pi = (\frac{40}{2})^2.3,14=1256\\

2)  Perimeter: P = 10.82 +10.82 + 12 + ( 12 . 3,14 )/2 = 52.48 mm

     Area:  S=\frac{9.12}{2}+(\frac{12}{2} )^2.\pi  = 167.04

 

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8 0
2 years ago
Choose the justification for each step in the solution for equation 6X -9 equals 45
fenix001 [56]
Whats the question i cant see it

8 0
4 years ago
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