MULTIPLYING AND DIVIDING MONOMIALS and NEGATIVE EXPONENTS?????

Question

is that possible???? please explain how to do the problems below!! thankyou! : )

1.)

find x^3 X 2x^5

2.)

15x^4

---------

3x

3.)

find b^ -4

4.)

3t^ -2

[ ^ = exponent]

Answer 1

I'll do one to show you how it's done.

2.)

15x^4

---------

3x

==> (15x^4)[(3x)ˉ¹]

==> 45x^(4 - 1)

==> 45x³

Make sense?

Answer 2

1.- these are positive exponents:

x^3 * 2x^5 = 2x^8; if you had a negative exponent; the rules of exponents say you have to add them; taking their sign into account; if it had been x^3 * 2x^-5; then the result would be 2x^-2

2.- 15x^4/3x = 5x^3  the exponents have to be substracted

3 and 4, there are no multiplications there

Answer 3

Revise your laws of indices. Besides those there is nothing in it.

Answer 4

1)

x^3 X 2x^5

  = 2x^8

(In multiplication, when the bases are equal, u should add the exponents <in this case, the exponents 5+3=8> )

2)

   15x^4

  -----------

     3x

  =5x^3

(In division, when bases are equal,u subtract the exponents <in this case, the exponents 4-1=3> )

3)

   b^ -4

=  1

    ---------

    b^4

(when there is a negative exponent, u should take the base's reciprocal



in this case:

the reciprocal of  b=

   1    

  ----

   b

=  1^4    

    ------------        

    b^4      

= 1

-----------

  b^4

4) the same way

      3t^ -2

      =  3

        -------------

        t^2