Advertisements
Advertisements
Question
Value of (256)0.16 × (256)0.09 is ______.
Options
4
16
64
256.25
Advertisements
Solution
Value of (256)0.16 × (256)0.09 is 4.
Explanation:
Given: Number (256)0.16 × (256)0.09
= `(256)^(0.16 + 0.09)`
= (256)0.25
= `((2)^8)^1/4`
= (2)2
= 4
APPEARS IN
RELATED QUESTIONS
Represent `sqrt9.3` on the number line.
Simplify the following expressions:
`(4 + sqrt7)(3 + sqrt2)`
Find the value to three places of decimals of the following. It is given that
`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`
`(sqrt5 + 1)/sqrt2`
Express the following with rational denominator:
`1/(3 + sqrt2)`
Rationales the denominator and simplify:
`(5 + 2sqrt3)/(7 + 4sqrt3)`
In the following determine rational numbers a and b:
`(4 + sqrt2)/(2 + sqrt2) = n - sqrtb`
Find the values the following correct to three places of decimals, it being given that `sqrt2 = 1.4142`, `sqrt3 = 1.732`, `sqrt5 = 2.2360`, `sqrt6 = 2.4495` and `sqrt10 = 3.162`
`(1 + sqrt2)/(3 - 2sqrt2)`
Write the rationalisation factor of \[\sqrt{5} - 2\].
Simplify the following:
`sqrt(45) - 3sqrt(20) + 4sqrt(5)`
Rationalise the denominator of the following:
`(3sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3))`
