Advertisements
Advertisements
प्रश्न
Simplify the following:
`(8 xx^6y^3)^(2/3)`
Advertisements
उत्तर
`(8 x^6y^3)^(2/3)`
= `(2^3x^6y^3)^(2/3)`
= `(2^3)^(2/3)(x^6)^(2/3)(y^3)^(2/3)` .....(Using (a x b)n = an x bn)
= `(2)^(3 xx 2/3)(x)^(6 xx 2/3)(y)^(3 xx 2/3)` .....(Using (am)n = amn)
= (2)2(x)4(y)2
= 4x4y2.
APPEARS IN
संबंधित प्रश्न
Solve : 3(2x + 1) - 2x+2 + 5 = 0.
Prove that : `( a + b + c )/( a^-1b^-1 + b^-1c^-1 + c^-1a^-1 ) = abc`
Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`
Simplify : −3 (1 − x2) − 2{x2 − (3 − 2x2)}
Simplify : `2{m-3(n+overline(m-2n))}`
Write each of the following in the simplest form:
`"a"^(1/3) ÷ "a"^(-2/3)`
Write the following in the simplest form:
(b-2 - a-2) ÷ (b-1 - a-1)
Simplify the following:
`(27/343)^(2/3) ÷ (1)/(625/1296)^(1/4) xx (536)/root(3)(27)`
Simplify the following:
`(5^x xx 7 - 5^x)/(5^(x + 2) - 5^(x + 1)`
Simplify the following:
`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`
