Math, asked by gitanjalisahu024, 4 months ago

what us the answer can any one psl tell me

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Answers

Answered by vipashyana1
1

Answer:

i) \frac{25 \times  {t}^{ - 4} }{ {5}^{ - 3} \times 10 \times  {t}^{ - 8}  } =  {5}^{4}  \times  {t}^{4}  \times 2

Step-by-step explanation:

i) \frac{25 \times  {t}^{ - 4} }{ {5}^{ - 3} \times 10 \times  {t}^{ - 8}  }   \\ =  \frac{25 \times  {( \frac{1}{t} )}^{4} }{ {( \frac{1}{5}) }^{3} \times 10 \times  { (\frac{1}{t} )}^{8}  }   \\ =  \frac{5 \times 5 \times  \frac{1}{t}  \times  \frac{1}{t}  \times  \frac{1}{t}  \times  \frac{1}{t} }{ \frac{1}{5} \times  \frac{1}{5}  \times  \frac{1}{5}  \times 2 \times 5 \times  \frac{1}{t} \times  \frac{1}{t} \times  \frac{1}{t}  \times  \frac{1}{t}  \times  \frac{1}{t} \times  \frac{1}{t}  \times  \frac{1}{t}  \times  \frac{1}{t}  }   \\ = 5 \times 5 \times  \frac{1}{t}  \times  \frac{1}{t}  \times  \frac{1}{t}  \times  \frac{1}{t}  \times 5 \times 5 \times 5 \times  \frac{1}{2}  \times  \frac{1}{5}  \times t \times t \times t \times t \times t \times t \times t \times t \\  = 5 \times 5 \times 5 \times 5 \times  t \times t \times t \times t \times 2  \\ =  {5}^{4}  \times  {t}^{4}  \times 2

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