Explore topic-wise MCQs in Surds & Indices.

(125 times 125 times 125 times 125 times 125 = 5^? )

If (a^x = b, b^y = c ) and (c^z = a ), then the value of (xyz ) is:

If (2^{(x-y)} = 8 ) and (2^{(x+y)} = 32 ), then (x ) is equal to:

If (7^a = 16807 ), then the value of (7^{(a-3)} ) is:

If (3^x - 3^{x-1} = 18 ), then the value of (x^x ) is:

If (a^x = b^y = c^z ) and (b^2 = ac ), then (y ) equals:

If (5^{a}=3125 ), then the value of (5^{(a-3)} ) is:

Given that (10^{0.48}=x ), (10^{0.70}=y ) and (x^{z}=y^{2} ), then the value of z is close to:

The value of ([(10)^{150} div (10)^{146}] )

((256)^{0.16} times (256)^{0.09} = ? )

((17)^{3.5} times (17)^{?}=17^{8} )

((0.04)^{-1.5} ) = ?

If m and n are whole numbers such that (m^{n} ) = 121, the value of ((m-n)^{n+1} ) is:

( frac{1}{1+a^{(n-m)}}+ frac{1}{1+a^{(m-n)}}=n^{?} )

Solve for (((3^{y})^{ sqrt{}2})^{2} = 729 ).

Solve for (m ) if (49(7^m) = 343^{3m+6} )

The simplified form of ( frac{x^{ frac{9}{2}} times sqrt{y^5}}{x^{ frac{7}{2}} times sqrt{y^3}} ) is:

If (x ) is an integer, find the minimum value of (x ) such that (0.00001154111 times 10^x ) exceeds 1000.

If ( sqrt{(3+3 sqrt{x})} = 2 ), then (x ) is equal to:

(( frac{1}{216})^{- frac{2}{3}} div( frac{1}{27})^{- frac{4}{3}}=? )

The value of (5^{ frac{1}{4}} times(125)^{0.25} ) is:

The value of (( frac{32}{243})^{- frac{4}{5}} ) is:

The value of (( sqrt8)^{ frac{1}{3}} ) is:

If (( frac{a}{b})^{x-1}=( frac{b}{a})^{x-3} ), then the value of (x ) is:

((17)^{3.5} times(17)^{?}=17^8 )

(( frac{x^{b}}{x^{c}})^{(b+c-a)}.( frac{x^{c}}{x^{a}})^{(c+a-b)}.( frac{x^{a}}{x^{b}})^{(a+b-c)}=? )

If (m ) and (n ) are whole numbers such that (m^{n}=121 ), the value of ((m-1)^{n+1} ) is:

( frac{1}{1+a^{(n-m)}}+ frac{1}{1+a^{(m-n)}}=? )

The value of ([(10)^{150} div (10)^{146}] )

((256)^{0.16} times (256)^{0.09}=? )

if (3^{(x-y)}=27 ) and (3^{(x+y)}=243 ), then (x ) is equal to:

( frac{(243)^{n/5} times 3^{2n+1}}{9^{n} times 3^{n-1}}=? )

The simplified form of ((x^{ frac{7}{2}} div x^{ frac{5}{2}}) times sqrt{y3} div sqrt{y} ) is:

If (m ) and (n ) are whole numbers such that (m^n = 169 ), then the value of ((m-1)^{n+1} ) is:

If ( sqrt{2n}=64 ), then the value of (n ) is:

If (5 sqrt{5} times5^3 div5^{- frac{3}{2}}=5^{a+2} ), the value of (a ) is:

((2^{n+4}-2.2^{n}) div(2.2^{n+3})=2^{-3} ) is equal to:

If (x=3+2 sqrt{2} ), then the value of (( sqrt{x}- frac{1}{ sqrt{x}}) ) is:

((25)^{7.5} times(5)^{2.5} div(125)^{1.5}=5^? )

( frac{1}{1+x^{(b-a)}+x^{(c-a)}}+ frac{1}{1+x^{(a-b)}+x^{(c-b)}}+ frac{1}{1+x^{(b-c)}+x^{(a-c)}}=? )

((0.04)^{-1.5}=? )

((25)^{7.5} times (5)^{2.5} div (125)^{1.5} = 5? )

If (2^x times 16^{ frac{2}{5}} = 2^{ frac{1}{5}} ), then (x ) is equal to:

If (4^{4m+2} = 8^{6m-4} ), solve for (m )

If (a ) and (b ) are positive numbers, (2^a = b^3 ) and (b^a = 8 ), find the value of (a ) and (b )

( sqrt{[200 sqrt{[200 sqrt{[200....... infty ]}]}]} = ? )