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Fofino [41]
2 years ago
13

Help

Mathematics
1 answer:
Art [367]2 years ago
5 0

\huge\fbox{Answer ☘}

\bold{3( \frac{27}{8} ) {}^{ \frac{2}{3}  \times  - 1}  = 2( \frac{32}{243} ) {}^{2x} }\\  \\3(( \frac{3}{2} ) {}^{3} ) {}^{ \frac{2}{3} \times  - 1 }  = 2(( \frac{2}{3} ) {}^{5} ) {}^{2x}  \\\\ 3( \frac{3}{2} ) {}^{2 \times  - 1}  = 2( \frac{2}{3} ) {}^{10x}  \\\\ 3( \frac{2}{3} ) {}^{2}  = 2( \frac{2}{3} )  {}^{10x}  \\\\ 3( \frac{4}{9} ) = 2( \frac{4}{9} ) {}^{5x}  \\\\\bold\pink{ comparing \: powers }\\\\5x = 1 \\\\ \bold\blue{x =  \frac{1}{5} }

hope helpful~

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Answer:

The correct answer is: [A]: " -(-21)  =  21 " .

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Step-by-step explanation:

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Let us examine the answer choices given.

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Choice:  [A]:  " -(-21) = 21 .  This is correct;  

     → since a "negative value of negative value" is a "positive value" ; as shown in this case.  The equal sign holds true, since the

"negative of a "negative value" is equal to the "positive value" of that same "positive value equivalent."

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Choice: [B]:  " -(-21) = -21 .  This is incorrect.  As explained above:

    → a "negative of negative" is a "positive value"  .

This answer choice shows that a "negative of negative"; is a "negative" :

                                                      → which is:  INCORRECT.

    → Rule out:  "Choice:  [B]."

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Choice: [C]:  " -(21) = 21 .  This is incorrect.  The "negative" value [of a positive integer is not equal to the "equivalent positive value" of that same integer.

   → Rule out:  "Choice:  [C]."

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Choice: [D]:  " (-21) = 21 ";  This is incorrect.  In a conceptually similar way as explained above—(for  "Answer Choice:  [C]" — the "negative value equivalent" of an integer is NOT equal to the "equivalent positive value" [of that same integer.].

  → Rule out:   "Choice:  [D]."

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The correct answer is:  [A]:  " -(-21) = 21 " .

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Hope this is helpful to you!

   Best wishes!

7 0
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