Write the following in exponential form and redical form. (i) Cube root of 729 (ii) Fifth root of 1990 (iii) Square root of 2001 (iv) Seventh root of

Correct Answer - C Possiblities of getting 9 are `(5,4),(4,5),(6,43),(3,6).` `thereforep=(4)/(36)=1/9andq=1-1/9=8/9` Therefore, the required probability is `""^(3)C_(2)q^(1)p^(2)=(3)((8)/(9))((1)/(9))^(2)=(8)/(143)`

Correct Answer - D `(d)` `x^(2001)-["^(2001)C_(0)x^(2001)-^(2001)C_(1)x^(2000)*(1)/(2)+^(2001)C_(2)x^(1999)*(1)/(4)...]=0` `:. ^(2001)C_(1)x^(2000)*(1)/(2)-^(2001)C_(2)x^(1999)*(1)/(4)...=0` sum of the roots `=^(2001)C_(2)*(1)/(4)*(2)/("^(2000)C_(1))=(2001*2000)/(4*2001)=500`

Correct Answer - `1394 ms^(-1)`

Correct Answer - `4^(6)`

Correct Answer - 19710

Correct Answer - (i) `5^(4)` (ii) `2^(10)` (iii) `2^(1)xx5^(4)` (iv) `3xx13^(2)` (v) `2^(3)xx3^(2)xx5^(1)`

Correct Answer - (i) 3 (ii) 0.2

Correct Answer - 155 cm

Correct Answer - `{:((i)27,(ii)20,(iii)42,(iv)64,(v)88),((vii)77,(viii)96,(ix)23,(x)90,):}`

Correct Answer - (a) (i) `(5)/(10)` (ii) `(1)/(2)` (b) (i) `(8)/(15)` (ii) `(8)/(15)`