Question

Express each of the following in power notation : i) 25/36. ii)-27/64. iii)-32/243. iv)-1/128 in process

Answer 1

$\dfrac{25}{36} = \dfrac{5 \times 5}{6 \times 6} = \bigg( \dfrac{5}{6} \bigg)^2$

.

$-\dfrac{27}{64} = \dfrac{-3 \times -3 \times -3}{4 \times 4 \times 4} = \bigg( \dfrac{-3}{4} \bigg)^3 =\bigg( - \dfrac{3}{4} \bigg)^3$

.

$-\dfrac{32}{243} = \dfrac{-2 \times -2 \times -2 \times -2 \times -2}{3 \times 3 \times 3 \times 3 \times 3} =\bigg( \dfrac{-2}{3} \bigg)^5 = \bigg( -\dfrac{2}{3} \bigg)^5$

.

$-\dfrac{1}{128} = \dfrac{-1 \times -1 \times -1 \times -1 \times -1 \times -1 \times -1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} = \bigg( \dfrac{-1}{2} \bigg)^7 = \bigg( -\dfrac{1}{2} \bigg)^7$

Answer 2

Answer:

I) 25/36

=5×5/6×6

=5²/6²

=(5/6)²