Question

find the value of 0.01024​

Answer 1

Answer:

0.32 is the value of 0.01024

Answer 2

Answer:

Answer: 2/5 or 0.4

Proof:

Express the quantity within parentheses as a fraction and write

(0.01024)^1/5 = (1024/100000)^1/5

Since division by a number is the same as multiplying by the reciprocal of the same number

= (1024 x 1/100000)^1/5

which can be written as product of two terms using the index law (ab)^m = a^m.b^m where a = 1024, b = 1/100000 and m = 1/5

= (1024)^1/5 . (1/100000)^1/5

Since the last two digits 24 of 1024 is divisible by 4, we factor it into 4s

= (4 x 4 x 4 x 4 x 4)^1/5 . (1/10^5)^1/5

= (4⁵)^1/5 . 1/(10⁵)^1/5

= 4^(5.1/5) x [1/10^(5.1/5)] [Since (aᵐ)ⁿ = aᵐⁿ]

= 4¹ x 1/10¹ = 4/10

= 2/5 or 0.4 (Proved)