Question

Express these numbers in power notation: 1) -27/125 2) -1/243

Answer 1

Answer:

a) $\frac{-3^{3}}{5^{3}} = (\frac{-3}{5})^{3}$     b) $\frac{-1^{5}}{3^{5}} = (\frac{-1}{3})^{5}$

Step-by-step explanation:

a)-27 = -3 x -3 x -3

  (-3 x -3 x -3) can be further written as $(-3)^{3}$

   125 = 5 x 5 x 5

    (5 x 5 x 5) can be written as $5^{3}$

Therefore, answer: $\frac{-3^{3}}{5^{3}} = (\frac{-3}{5})^{3}$

b) -1 = -1 x -1 x -1 x -1 x -1

   (-1 x -1 x -1 x -1 x -1) can be written as $(-1)^{5}$

   243 = 3 x 3 x 3 x 3 x 3

    (3 x 3 x 3 x 3 x 3) can be written as $3^{5}$    

Therefore, answer: $\frac{-1^{5}}{3^{5}} = (\frac{-1}{3})^{5}$

Hope it helps,

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