Advertisements
Advertisements
प्रश्न
Express `27/64` and `(-27)/64` as powers of a rational number.
बेरीज
Advertisements
उत्तर
∵ 27 = 3 × 3 × 3 = 33, (–27) = (–3) × (–3) × (–3) = (–3)3
And 64 = 4 × 4 × 4 = 43
∴ `27/64 = 3^3/4^3 = (3/4)^3` and `(-27)/64 = (-3)^3/(4)^2 = ((-3)/4)^3`
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Evaluate:
`(3^-1÷4^-1)^2`
Which is greater:
54 or 45
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 |
Find the value of 93.
Work out (1)5, (–1)3, (–1)4, (–10)3, (–5)4
Fill in the blanks with <, > or = sign.
32 ______ 15
Find the value of (–35).
Express the following in exponential form:
a × a × b × b × b × c × c × c × c
Express the following in exponential form:
s × s × t × t × s × s × t
The number of diagonals of an n-sided figure is `1/2(n^2 - 3n)`. Use the formula to find the number of diagonals for a 6-sided figure (hexagon).
