Advertisements
Advertisements
प्रश्न
When simplified \[(256) {}^{- ( 4^{- 3/2} )}\] is
विकल्प
8
\[\frac{1}{8}\]
2
\[\frac{1}{2}\]
Advertisements
उत्तर
Simplify `(256)^((-4 3/2)`
`(256)^((-4 3/2))` = `(256)^-(2^2)^(3/2)`
= `(256)^((-2^(2xx - 3/2))`
= `(256)^-(2^(2xx - 3/2))`
`(256)^((-4-^(3/2))` = `(256)^(-(2) ^((-3))`
`(256)^((-4-^(3/2))` = `(256) ^(1/((-2))`
= `(256) ^(1/(-8)`
= `(2^8) ^(1/(-8)`
= `2^(8 xx 1/(-8)`
`(256)^((-4 -3/2)) = 2^(8xx 1/-8) = 1/2`
APPEARS IN
संबंधित प्रश्न
Solve the following equation for x:
`2^(5x+3)=8^(x+3)`
Show that:
`(x^(a^2+b^2)/x^(ab))^(a+b)(x^(b^2+c^2)/x^(bc))^(b+c)(x^(c^2+a^2)/x^(ac))^(a+c)=x^(2(a^3+b^3+c^3))`
Find the value of x in the following:
`(13)^(sqrtx)=4^4-3^4-6`
State the product law of exponents.
State the quotient law of exponents.
Write the value of \[\sqrt[3]{7} \times \sqrt[3]{49} .\]
If x-2 = 64, then x1/3+x0 =
When simplified \[\left( - \frac{1}{27} \right)^{- 2/3}\] is
Which one of the following is not equal to \[\left( \frac{100}{9} \right)^{- 3/2}\]?
If 102y = 25, then 10-y equals
