Advertisements
Advertisements
Question
Express `16/81` and `(-16)/81` as powers of a rational number.
Sum
Solution
∵ 16 = 4 × 4 = 42
And 81 = 9 × 9 = 92
∴ `16/81 = (4)^2/(9)^2 = (4/9)^2` and `(-16)/(9)^2 = - (4/9)^2`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Identify the greater number, wherever possible, in the following?
210 or 102
Simplify:
0 × 102
Simplify:
52 × 33
Simplify:
24 × 32
Express the following number in index form.
Seventh root of 30
Complete the table below.
| Sr. No | Indices (Numbers in index form) |
Base | Index | Multiplication form | Value |
| (i) | 34 | 3 | 4 | 3 × 3 × 3 × 3 | 81 |
| (ii) | 163 | ||||
| (iii) | (−8) | 2 | |||
| (iv) | `3/7 xx 3/7 xx 3/7 xx 3/7` | `81/2401` | |||
| (v) | (−13)4 |
Work out (1)5, (–1)3, (–1)4, (–10)3, (–5)4
23 < 32
Express `27/64` and `(-27)/64` as powers of a rational number.
Express the following numbers using exponential notations:
`144/875`
