Question 345431
(-3z)^(2)(4z^(8))^(2)

Squaring an expression is the same as multiplying the expression by itself 2 times.
(-3z)(-3z)(4z^(8))^(2)

Multiply -3z by -3z to get 9z^(2).
(9z^(2))(4z^(8))^(2)

Remove the parentheses around the expression 9z^(2).
9z^(2)(4z^(8))^(2)

Expand the exponent (2) to the expression.
(9z^(2))*4^(2)z^(8*2)

Multiply 8 by 2 to get 16.
(9z^(2))*4^(2)z^(16)

Squaring a number is the same as multiplying the number by itself (4*4).  In this case, 4 squared is 16.
(9z^(2))*16z^(16)

Multiply 16z^(16) by each term inside the parentheses.
144z^(18)