Use the properties of exponents to simplify the expression U

Use the properties of exponents to simplify the expression.

Use the properties of exponents to simplify the expression. (2^2)(2^3) (1/9)^2(9^2) (3^6)^1/2 [(7^-1)(7^2/3)]^3

Solution

a). (2^2) (2^3)
this can be written as (2^(2+3)) = 2^5 =32

b). (1/9)^2 . (9^2) = (1/9^2). (9^2)
= (9^2/9^2)
= 1
c) (3^6)^1/2 = (3^(6/2))
=(3^3)
= 27
d).
[ ( 7^-1 ) .(7^2/3) ]^3 = (7^-3) . (7^2*3/3)
= (7^-3) . 7^2
=7^(-3+2)
=7^(-1)
=1/7