SOLUTION: Multiply. {{{(-2t)^2(4t^5)^2}}}

Question 325937: Multiply.

Answer by Apathious(24) (Show Source): You can put this solution on YOUR website!
(-2t)^(2)*(4t^(5))^(2)
Squaring an expression is the same as multiplying the expression by itself 2 times.
(-2t)(-2t)(4t^(5))^(2)
Multiply -2t by -2t to get 4t^(2).
(4t^(2))(4t^(5))^(2)
Remove the parentheses around the expression 4t^(2).
4t^(2)(4t^(5))^(2)
Expand the exponent (2) to the expression.
4t^(2)*4^(2)t^(5*2)
Multiply 5 by 2 to get 10.
4t^(2)*4^(2)t^(10)
Squaring a number is the same as multiplying the number by itself (4*4). In this case, 4 squared is 16.
4t^(2)*16t^(10)
Multiply 4t^(2) by 16t^(10) to get 64t^(12).
64t^(12)
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