SOLUTION: MULTIPLY (-3z)^2(4z^8)^2 =

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Question 345431: MULTIPLY
(-3z)^2(4z^8)^2 =

Answer by haileytucki(390) About Me  (Show Source):
You can put this solution on YOUR website!
(-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)