Advertisements
Advertisements
Question
Simplify:
\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\]
Sum
Advertisements
Solution
\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\] `=(1/4xx1/3)^2` →(a−1 = 1/a)
\[= \left( \frac{1}{12} \right)^2\]
\[= \frac{(1 )^2}{(12 )^2}\] →((a/b)n = (an)/(bn))
\[= \frac{1}{144}\]
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the value of the following:
(3−1 + 4−1 + 5−1)0
Simplify:
\[\left( 5^{- 1} \div 6^{- 1} \right)^3\]
Write the following in exponential form:
\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
\[\left( \frac{1}{4} \right)^{- 1}\]
Express the following rational numbers with a positive exponent:
\[4^3 \times 4^{- 9}\]
By what number should \[\left( \frac{5}{3} \right)^{- 2}\] be multiplied so that the product may be \[\left( \frac{7}{3} \right)^{- 1} ?\]
Cube of \[\frac{- 1}{2}\] is
Find the value of `(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`
Expand the following numbers using exponents.
1256.249
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
