Question

7 to the negative 3rd porwer times 7 to the negative 2nd porwer times 2 the 0 power divided by 7 to negative 1st power times 7 to the negative 4th power times 2 to the 3rd power

Answer 1

oof

remember some rules

(a/b)(c/d)=(ac)/(bd)

`(x^a)/(x^b)=x^(a-b)`

`x^0=1`

`(x^a)(x^b)=x^(a+b)`

`x^(-a)=(1)/(x^a)`

`((7^(-3))(7^(-2))(2^0))/((7^(-1))(7^(-4))(2^3))=`

`((7^(-3-2))(2^0))/((7^(-1-4))(2^3))=`

`((7^(-5))(2^0))/((7^(-5))(2^3))=`

`((7^(-5))/(7^(-5)))((2^0)/(2^3))=`

`(7^(-5-(-5)))(2^(0-3))=`

`(7^0)(2^(-3))=`

`(1)/(2^3)=`

`(1)/(8)`