Question 325937
(-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)