Express each of the following products of powers as the exponent of a rational numbers: (i)`2^5xx3^5` (ii) `(-4)^3xx(-2)^3` (iii)`3^7xx(-2)^7`

Simplify and express each of the following as power of a rational number: (2/3)^3xx(-6/7)^2xx(-7/4)xx3/2

Express the following as a rational number: (1/2)^3xx((-3)/5)^3xx((-4)/9)^2

Express the following as a rational number: (1/2)^3xx((-3)/5)^3xx((-4)/9)^2

Simplify and express each of the following as power of a rational number: (2/3)^3xx(-6/7)^2xx(-7/4)xx3/2 (iii) -(2/5)^2xx(5/7)^2xx(49)/5+(-4/5)^3xx5/4xx3/4

Express each of the following rational numbers with a negative exponent : (i) (1/4)^3 (ii) 3^5 (iii) (3/5)^4

Express each of the following as power of a rational number with positive exponent : (1/4)^(-3) (ii) 5^(-3)\ xx\ 5^(-6) (c) ((-1)/4)^(-5)xx\ ((-1)/4)^(-7)

Express each of the following rational numbers with a positive exponent : (i)(3/4)^(-2) (ii) (5/4)^(-3) (iii) 4^3×\ 4^(-9)

Express each of the following as a rational numbers of the form p/q : (i) (3/7)^2\ \ \ \ \ \ (ii) (7/9)^3 (iii) ((-2)/3)^4