English Medium इयत्ता ९ - CBSE Question Bank Solutions

Simplify:

`root3((343)^-2)`

Simplify:

`(0.001)^(1/3)`

Simplify:

`((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3))`

Simplify:

`(sqrt2/5)^8div(sqrt2/5)^13`

Simplify:

`((5^-1xx7^2)/(5^2xx7^-4))^(7/2)xx((5^-2xx7^3)/(5^3xx7^-5))^(-5/2)`

Prove that:

`sqrt(3xx5^-3)divroot3(3^-1)sqrt5xxroot6(3xx5^6)=3/5`

Prove that:

`9^(3/2)-3xx5^0-(1/81)^(-1/2)=15`

Prove that:

`(1/4)^-2-3xx8^(2/3)xx4^0+(9/16)^(-1/2)=16/3`

Prove that:

`(2^(1/2)xx3^(1/3)xx4^(1/4))/(10^(-1/5)xx5^(3/5))div(3^(4/3)xx5^(-7/5))/(4^(-3/5)xx6)=10`

Prove that:

`sqrt(1/4)+(0.01)^(-1/2)-(27)^(2/3)=3/2`

Prove that:

`(2^n+2^(n-1))/(2^(n+1)-2^n)=3/2`

Prove that:

`(64/125)^(-2/3)+1/(256/625)^(1/4)+(sqrt25/root3 64)=65/16`

Prove that:

`(3^-3xx6^2xxsqrt98)/(5^2xxroot3(1/25)xx(15)^(-4/3)xx3^(1/3))=28sqrt2`

Prove that:

`((0.6)^0-(0.1)^-1)/((3/8)^-1(3/2)^3+((-1)/3)^-1)=(-3)/2`

Show that:

`1/(1+x^(a-b))+1/(1+x^(b-a))=1`

Show that:

`[{x^(a(a-b))/x^(a(a+b))}div{x^(b(b-a))/x^(b(b+a))}]^(a+b)=1`

Show that:

`(x^(1/(a-b)))^(1/(a-c))(x^(1/(b-c)))^(1/(b-a))(x^(1/(c-a)))^(1/(c-b))=1`

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))`

Show that:

`(x^(a-b))^(a+b)(x^(b-c))^(b+c)(x^(c-a))^(c+a)=1`

Show that:

`{(x^(a-a^-1))^(1/(a-1))}^(a/(a+1))=x`