English Medium कक्षा ९ - CBSE Question Bank Solutions

Write \[\left( \frac{1}{9} \right)^{- 1/2} \times (64 )^{- 1/3}\] as a rational number.

Write the value of \[\sqrt[3]{125 \times 27}\].

For any positive real number x, find the value of \[\left( \frac{x^a}{x^b} \right)^{a + b} \times \left( \frac{x^b}{x^c} \right)^{b + c} \times \left( \frac{x^c}{x^a} \right)^{c + a}\].

Write the value of \[\left\{ 5( 8^{1/3} + {27}^{1/3} )^3 \right\}^{1/4} . \]

Simplify \[\left[ \left\{ \left( 625 \right)^{- 1/2} \right\}^{- 1/4} \right]^2\]

For any positive real number x, write the value of  \[\left\{ \left( x^a \right)^b \right\}^\frac{1}{ab} \left\{ \left( x^b \right)^c \right\}^\frac{1}{bc} \left\{ \left( x^c \right)^a \right\}^\frac{1}{ca}\]

If (x − 1)³ = 8, What is the value of (x + 1)² ?

The value of \[\left\{ 2 - 3 (2 - 3 )^3 \right\}^3\] is 

The value of x − y^x-y when x = 2 and y = −2 is

The product of the square root of x with the cube root of x is

The seventh root of x divided by the eighth root of x is

The square root of 64 divided by the cube root of 64 is

Which of the following is (are) not equal to \[\left\{ \left( \frac{5}{6} \right)^{1/5} \right\}^{- 1/6}\] ?

When simplified \[( x^{- 1} + y^{- 1} )^{- 1}\] is equal to

If \[8^{x + 1}\] = 64 , what is the value of \[3^{2x + 1}\] ?

If (2³)² = 4^x, then 3^x =

If x^{-2 =} 64, then x^1/3+x⁰ =

When simplified \[\left( - \frac{1}{27} \right)^{- 2/3}\] is 

Which one of the following is not equal to \[\left( \sqrt[3]{8} \right)^{- 1/2} ?\]

Which one of the following is not equal to \[\left( \frac{100}{9} \right)^{- 3/2}\]?