Correct.
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?