Question

Simplify the expression using the properties of exponents:
(6a^2b^3)^3
_____________
(b^2)^3

Answer 1

6a^(2*3) * 2b^(3*3)
------------------- =
b^(2*3)

6a^6 * 2b^9
------------
b^6

Answer 2

6a^6
_________
2b^3
Is this correct??

Answer 3

No, it is
6a^6 * 2b^9
------------ and that equals 12a^6 * 2b^3
b^6

Answer 4

\[\frac{(6a{}^{\wedge}2b{}^{\wedge}3){}^{\wedge}3}{(b{}^{\wedge}2){}^{\wedge}3}\text{= }216 a^6 b^3\]If the LHS and the RHS are each evaluated with a = 3 and b = 5 then 19683000 = 19683000 is the result.