(z*5)*3 i can't seem to figure out the answer to parenthesis z to the power of 5 close parenthesis
+23254 (z^5)^3 = z^15
If you have an exponent to an exponent, mutiply the exponents together.
You can think of it this way, you have 3 groups and there are 5 in each group, so you have 3 x 5 = 15.
Since z^5 = z·z·z·z·z,
(z^5)^3 = (z·z·z·z·z)^3 = (z·z·z·z·z)·(z·z·z·z·z)·(z·z·z·z·z) = z·z·z·z·z·z·z·z·z·z·z·z·z·z·z = z^15
+23254 (z^5)^3 = z^15
If you have an exponent to an exponent, mutiply the exponents together.
You can think of it this way, you have 3 groups and there are 5 in each group, so you have 3 x 5 = 15.
Since z^5 = z·z·z·z·z,
(z^5)^3 = (z·z·z·z·z)^3 = (z·z·z·z·z)·(z·z·z·z·z)·(z·z·z·z·z) = z·z·z·z·z·z·z·z·z·z·z·z·z·z·z = z^15
