Simplifying the given expression ( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴) gives a result of 0.
Given the expression in the question;
( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴)
First, perform the operations inside the parenthesis
( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴)
( (-9(2)³ )/4 ) + ((1/2)(6)² )/( 4²÷2⁴)
Raise 2 to power 3, 6 to power 2, 4 to power 2 and 2 to power 4
( (-9(8) )/4 ) + ((1/2)36 )/( 16 ÷ 16)
Perform the operations in the parenthesis
-72/4 + 18/1
Divide -74 by 4
-72/4 + 18/1
-18 + 18
Negative 18 and positive 18 cancels out each other.
-18 + 18
0
Therefore, simplifying the given expression ( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴) gives a result of 0.
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