Advertisements
Advertisements
प्रश्न
Simplify:
`(1^3 + 2^3 + 3^3)^(1/2)`
सोपे रूप द्या
Advertisements
उत्तर
`(1^3 + 2^3 + 3^3)^(1/2) = (1 + 8 + 27)^(1/2)` ...[∵ (am)n = amn]
= `(36)^(1/2)`
= `(6^2)^(1/2)`
= `6^(2 xx 1/2)`
= 6
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Number Systems - Exercise 1.3 [पृष्ठ ११]
APPEARS IN
संबंधित प्रश्न
Simplify the following:
`(3^nxx9^(n+1))/(3^(n-1)xx9^(n-1))`
Solve the following equation for x:
`7^(2x+3)=1`
Solve the following equation for x:
`2^(5x+3)=8^(x+3)`
Prove that:
`9^(3/2)-3xx5^0-(1/81)^(-1/2)=15`
Simplify:
`root(lm)(x^l/x^m)xxroot(mn)(x^m/x^n)xxroot(nl)(x^n/x^l)`
State the quotient law of exponents.
When simplified \[( x^{- 1} + y^{- 1} )^{- 1}\] is equal to
If a, b, c are positive real numbers, then \[\sqrt[5]{3125 a^{10} b^5 c^{10}}\] is equal to
If \[x = 7 + 4\sqrt{3}\] and xy =1, then \[\frac{1}{x^2} + \frac{1}{y^2} =\]
If `a = 2 + sqrt(3)`, then find the value of `a - 1/a`.
