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barxatty [35]
3 years ago
13

What is the product?

Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0

Answer:

21x^{7}y^{11}

Step-by-step explanation:

Remove the parentheses and take out the constansts.

(7 x 3) x^{2} x^{5} y^{3} y^{8}

Simplify 7 x 3 to 21.

21x^{2} x^{5} y^{3} y^{8}

Use the product rule: x^{a} x^{b} = x^{a + b}

21x^{2 + 5}y^{3+8}

Simplify 2+5 to 7.

21x^{7}y^{3+8}

Simplfiy 3 + 8 to 11.

21x^{7}y^{11}

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What is the difference? 5/3-1/2<br><br>A. 4<br>B. 7<br>C. 7/6<br>D. 7/0 = undefined
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The answer is:  [C]:  " ⁷/₆ " .
____________________________________
  Note:
____________________________________
   (5/3) - (1/2) = ? ;
____________________________________
The LCD (lowest common denominator) of "2 and 3" is "6" ;

So we need to rewrite EACH fraction in the problem as a fraction with "6" in the denominator ;
____________________________
 (5/3) = (?/6) ?  ;  (6÷3=2) ;  (5/3) = (5*2)/(3*2) = 10/6 ;
____________________________
(1/2) = (?/6) ? ; (6÷2=3) ;  (1/2) = (1*3)/(2*3) = 3/6 ;
____________________________
Rewrite the problem:   "    (5/3) - (1/2) " ;  as:
____________________________
   10/6 - 3/6  ;
____________________________________________
    10/6 - 3/6 = (10 - 3) / 6 = (7/6) = 1 ⅙ .
____________________________________________
The answer is:  " ⁷/₆ " ;  or, write as:   " 1 ⅙ " ; which corresponds to: 
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Answer choice:  [C]:  " ⁷/₆ " .
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