English Medium कक्षा ९ - CBSE Question Bank Solutions

Solve the following equation for x:

`2^(x+1)=4^(x-3)`

Solve the following equation for x:

`2^(5x+3)=8^(x+3)`

Solve the following equation for x:

`4^(2x)=1/32`

Solve the following equation for x:

`4^(x-1)xx(0.5)^(3-2x)=(1/8)^x`

Solve the following equation for x:

`2^(3x-7)=256`

Solve the following equations for x:

`2^(2x)-2^(x+3)+2^4=0`

Solve the following equations for x:

`3^(2x+4)+1=2.3^(x+2)`

If 49392 = a⁴b²c³, find the values of a, b and c, where a, b and c are different positive primes.

If `1176=2^a3^b7^c,` find a, b and c.

Given `4725=3^a5^b7^c,` find

(i) the integral values of a, b and c

(ii) the value of `2^-a3^b7^c`

If `a=xy^(p-1), b=xy^(q-1)` and `c=xy^(r-1),` prove that `a^(q-r)b^(r-p)c^(p-q)=1`

Assuming that x, y, z are positive real numbers, simplify the following:

`(sqrt(x^-3))^5`

Assuming that x, y, z are positive real numbers, simplify the following:

`sqrt(x^3y^-2)`

Assuming that x, y, z are positive real numbers, simplify the following:

`(x^((-2)/3)y^((-1)/2))^2`

Assuming that x, y, z are positive real numbers, simplify the following:

`(sqrtx)^((-2)/3)sqrt(y^4)divsqrt(xy^((-1)/2))`

Assuming that x, y, z are positive real numbers, simplify the following:

`root5(243x^10y^5z^10)`

Assuming that x, y, z are positive real numbers, simplify the following:

`(x^-4/y^-10)^(5/4)`

Assuming that x, y, z are positive real numbers, simplify the following:

`(sqrt2/sqrt3)^5(6/7)^2`

Simplify:

`(16^(-1/5))^(5/2)`

Simplify:

`root5((32)^-3)`