Question

express the number in power notation?
1. 25/36
2.-27/64 ​

Answer 1

Answer:

=

6×6

5×5

=(

6

5

)

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−

64

27

=

4×4×4

−3×−3×−3

=(

4

−3

)

3

=(−

4

3

)

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−

243

32

=

3×3×3×3×3

−2×−2×−2×−2×−2

=(

3

−2

)

5

=(−

3

2

)

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−

128

1

=

2×2×2×2×2×2×2

−1×−1×−1×−1×−1×−1×−1

=(

2

−1

)

7

=(−

2

1

)

7

Answer 2

Answer:

$\frac{25}{36} = ( { \frac{5}{6} })^{2}$

$\frac{ - 27}{64} = ( { \frac{ - 3}{4} })^{3}$