Hi guys,

The Task: Simplify using the exponent laws. Evaluate where possible.

1. (m^5)^4

my answer:

= m^5*4

= m^20

Is that the right answer?

2. (5r^4)^3

my answer:

= 5^3 r^12

= 125r^12

Is that the right answer?

3. (-2xy)^2 (3y^3)

my answer:

= (-2^2 x^2 y^2) (3y^3)

= (4x^2) (3y^5)

= 12x^2 y^5

Is that the right answer?

4. (-4n^3)^2

-------------

(3n)^5

my answer:

= -4^2 n^6

------------

3^5 n^5

= 16 n^6

----------

243 n^5

= 16n

-----

243

Is that the right answer?

5. -(3b^3)^2 (-8b^6)

-----------------------

-24b

my answer:

-(3^2 b^6) (-8b^6)

-----------------------

-24b

Can somebody help me to simplify from that point? I do not know how to simplify further. Thanks.

6. (9x^2/y)^2 (y/3x)^3

my answer:

(9^2 x^4/y^2) (y^3/3^3 x^3)

= 81xy/27

= 9xy/3

= 3xy

Is that the right answer?