Starting from `(-1)xx5` write various products showing some pattern to show `(-1)xx(-1)=1`

Starting from (-1) × 5, write various products showing some pattern to show (-1) (-1)= 1 .

write the product in lowest terms. 2""4/5 times 2""1/7

Find the product (3)^(1/3)xx(2)^(1/6)

Show that tan theta xx tan(90-theta)=1

Show that if f_(1) and f_(2) are one-one maps from R to R, then the product f_(1)xx f_(2):R rarr R defined by (f_(1)xx f_(2))(x)=f_(1)(x)f_(2)(x) need not be one-one.

For the binary operation multiplication modulo 5(xx5) defined on the set S={1,2,3,4} Write the value of (3xx_(5)4^(-1))^(-1)

(5^(-1) xx 3^(-1))^(-1)= ?

Some pictures (a) to (c) are given below.Tell which of them show (i) 3xx(1)/(5)=(3)/(5) (ii) 2xx(1)/(3)=(2)/(3)( iii) 3xx(3)/(4)=(2)(1)/(4)

Show that -a is not the inverse of a in N for the addition operation + on N and (1)/(a) is not the inverse of a in N for multiplication operation xx on N, for a!=1