Home
Class 7
MATHS
Simplify each of the following and expre...

Simplify each of the following and express each as a rational number:
( i ) `(frac(3)(2))^(4) xx (frac(1)(5))^(2)`
( ii ) `(frac(-2)(3))^(5) xx (frac(-3)(7))^(3)`
( iii ) `(frac(-1)(2))^(5) xx 2^(3) xx (frac(3)(4))^(2)`
( iv ) `(frac(2)(3))^(2) xx (frac(-3)(5))^(3) xx (frac(7)(2))^(2)`
( v ) `{(frac(-3)(4))^(3)-(frac(-5)(2))^(3)} xx 4^(2)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Simplify each of the following and express each as a rational number: ( i ) (frac(2)(3))^(4) xx (frac(2)(3))^(2) ( ii ) (frac(-3)(4))^(3) xx (frac(-3)(4))^(2) ( iii ) (frac(5)(7))^(5) xx (frac(5)(7))^(-3) ( iv ) (frac(-3)(5))^(-3) xx (frac(-3)(5))^(2)

Simplify and express each of the following as a rational number: ( i ) (frac(3)(2))^(-3) xx (frac(3)(2))^(-2) ( ii ) (frac(3)(4))^(-2) xx (frac(5)(2))^(-3) ( iii ) (frac(-2)(3))^(-4) xx (frac(-3)(5))^(2)

Simplify each of the following as a rational number: ( i ) (frac(4)(9))^(6) xx (frac(4)(9))^(-4) ( ii ) (frac(-7)(8))^(-3) xx (frac(-7)(8))^(2) ( iii ) (frac(4)(3))^(-3) xx (frac(4)(3))^(-2)

Evaluate: ( i ) (frac(3)(4))^(2) ( ii ) (frac(-2)(3))^(3) ( iii ) (frac(-4)(5))^(5)

Simplify and express the result in exponential form: ( i ) (frac(3)(4))^(7) xx (frac(3)(4))^(5) ( ii ) (frac(-2)(5))^(11) xx (frac(-2)(5))^(4)

Express each of the following as a rational number: ( i ) (frac(2)(3))^(3) ( ii ) (frac(-8)(5))^(3) ( iii ) (frac(-13)(11))^(2) ( iv ) (frac(1)(6))^(3) ( v ) (frac(-1)(2))^(5) ( vi ) (frac(-3)(4))^(4) ( vii ) (frac(-4)(7))^(3) ( viii ) (-1)^(9)

Simplify: ( i ) [{(frac(-1)(4))^(2)}^(-2)]^(-1) ( ii ) {(frac(-2)(3))^(2)}^(3) ( iii ) (frac(-3)(2))^(2) div (frac(-3)(2))^(6) ( iv ) (frac(-2)(3))^(7) div (frac(-2)(3))^(4)

(3^(2)-2^(2)) xx (frac(2)(3))^(-3)= ?

If (frac(5)(3))^(-5) xx (frac(5)(3))^(11)=(frac(5)(3))^(8x), then x = ?

Express each of the following as a rational number: ( i ) 4^(-3) ( ii ) (-3)^(-5) ( iii ) (frac(1)(2))^(-4) ( iv ) (frac(-2)(5))^(-3)