simplify expressions

Question

Please help solve these expressions.

 

 

p^-3

p^-2r^3

 

 

(5x^-7)^2

 

show steps.

 

thank you.

Answer 1

 P^-3_____ =

P ^-2 r^3

 

  1      ______ =

P^3 P^-2 r^3

 

   1        

    P r ^3

 

    Steps has to be followed are multiplication of Exponents.      1. a^m . a ^n = a^( ma+n)

                                                                                            

                                                                                           2.   a^-m  = 1/ a^m

 

          ( 5X - 7 ) ^2 =

 

          ( 5 X - 7 ) ( 5X - 7 ) =

           

           ( 5X - 7 ) 5X - 7 ( 5X -7 ) =   / Distribute it twice

          

            25 X ^2 - 35X - 35X + 49 =

 

            25X^2 - 70X + 49