Advertisements
Advertisements
Question
For any two non-zero rational numbers a and b, a4 ÷ b4 is equal to
Options
(a ÷ b)1
(a ÷ b)0
(a ÷ b)4
(a ÷ b)8
Advertisements
Solution
(a ÷ b)4
This is one of the basic exponential formulae, i.e. (a ÷ b)n = an ÷ bn
APPEARS IN
RELATED QUESTIONS
Write the following in exponential form:
Express the following rational numbers with a negative exponent:
Express the following rational numbers with a positive exponent:
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
The multiplicative inverse of (– 4)–2 is (4)–2.
The cells of a bacteria double itself every hour. How many cells will there be after 8 hours, if initially we start with 1 cell. Express the answer in powers.
Predicting the ones digit, copy and complete this table and answer the questions that follow.
| Powers Table | ||||||||||
| x | 1x | 2x | 3x | 4x | 5x | 6x | 7x | 8x | 9x | 10x |
| 1 | 1 | 2 | ||||||||
| 2 | 1 | 4 | ||||||||
| 3 | 1 | 8 | ||||||||
| 4 | 1 | 16 | ||||||||
| 5 | 1 | 32 | ||||||||
| 6 | 1 | 64 | ||||||||
| 7 | 1 | 128 | ||||||||
| 8 | 1 | 256 | ||||||||
| Ones Digits of the Powers |
1 | 2, 4, 8, 6 | ||||||||
- Describe patterns you see in the ones digits of the powers.
- Predict the ones digit in the following:
- 412
- 920
- 317
- 5100
- 10500
- Predict the ones digit in the following:
- 3110
- 1210
- 1721
- 2910
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
