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Question
Solve for x: `(2^(2x - 1))/(2^(x + 2))` = 4
Sum
Solution
`(2^(2x - 1))/(2^(x + 2))` = 4
`2^(2x – 1 – (x + 2))` = 22
`2^(2x – 1 – x – 2)` = 22
`2^(2x – 3)` = 22
Equating the powers of the same base 2.
x – 3 = 2
x – 3 + 3 = 2 + 3
x = 5
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Chapter 1: Numbers - Exercise 1.6 [Page 45]
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Say true or false and justify your answer:
23 > 52
Simplify:
`(3^4)^-2`
Simplify:
`[(2/3)^-4]^5`
Simplify:
`[(2/5)^-3]^2`
Write the following number using positive indices.
`(2/7)^-2`
Solve: `((2/5)^(-2))^3`.
Simplify and express the following in exponential form:
45 × 42 × 44
`[((-1)/4)^16]^2 = ((-1)/4)^-`
34 > 43
Arrange in ascending order:
25, 33, 23 × 2, (33)2, 35, 40, 23 × 31
