Question

(5z^4)^2(2z^6)^3 Simplify

Answer 1

25z^8 * 8z^18

\[(x ^{a})^{b} = x ^{a+b}\]

Answer 2

clear till now?

Answer 3

the problem becomes

\[5^2 \times (z^4)^2 \times 2^3 \times (z^6)^3\]

the index law for power of a power is which you need to do 1st

\[(x^a)^b = x^{a \times b}\]

then when you have done that the index law for multiplication of the same base is add the powers which you need to do 2nd

\[x^a \times x^b = x^{a + b}\]

Answer 4

so then i would do (z^4)^2 *(Z^6)^2

Answer 5

yes this is fine for variable z
but do keep track of the constants