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LiRa [457]
3 years ago
9

20 pts look at pic n answer

Mathematics
1 answer:
kodGreya [7K]3 years ago
3 0

1. \frac{x^3}{x^8}=x^{-5}

2. \frac{6x}{2x^8} = 3x^{-7}

3. \frac{28x^6}{21x^2} = \frac{4}{3}x^4

Step-by-step explanation:

<u>1. x^3/x^8</u>

Given fraction is:

\frac{x^3}{x^8}

When the bases are same in both numerator and denominator then the exponents can be added

i.e.

\frac{x^a}{x^b} = x^{a-b}

So,

\frac{x^3}{x^8} = x^{3-8} = x^{-5}

<u>Part b:</u>

\frac{6x}{2x^8}\\= \frac{3.2.x}{2.x^8}\\=\frac{3x}{x^8}\\=3x{1-8}\\=3x^{-7}

<u>Part c:</u>

Given

\frac{28x^6}{21x^2}\\= \frac{7.4.x^6}{7.3.x^2}\\=\frac{4}{3} x^{6-2}\\=\frac{4}{3}x^4

Keywords: Fractions, exponents

Learn more about fractions at:

  • brainly.com/question/5282516
  • brainly.com/question/5424148

#LearnwithBrainly

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