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Question
The expression for 4–3 as a power with the base 2 is 26.
Options
True
False
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Solution
This statement is False.
Explanation:
Using law of exponents,
`a^-m = 1/a^m`
∴ `4^-3 = 1/44^3`
= `1/(2^2)^3` ...[∵ 2 × 2 = 4, (am)n = (a)mn]
= `1/(2)^6`
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RELATED QUESTIONS
Find the value of m for which 5m ÷5−3 = 55.
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Evaluate:
(−3)−2
Simplify:
By what number should \[\left( \frac{5}{3} \right)^{- 2}\] be multiplied so that the product may be \[\left( \frac{7}{3} \right)^{- 1} ?\]
Square of \[\left( \frac{- 2}{3} \right)\] is
Which of the following numbers is not equal to \[\frac{- 8}{27}?\]
(a) \[\left( \frac{2}{3} \right)^{- 3}\]
(b) \[- \left( \frac{2}{3} \right)^3\]
(c) \[\left( - \frac{2}{3} \right)^3\]
(d) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
