# Evaluate (11-|7-10|+4^2)/(4^(2-7))

11-|7-10|+4242-7
Move 42-7 to the numerator using the negative exponent rule 1b-n=bn.
(11-|7-10|+42)⋅4-(2-7)
Simplify each term.
Subtract 10 from 7.
(11-|-3|+42)⋅4-(2-7)
The absolute value is the distance between a number and zero. The distance between -3 and 0 is 3.
(11-1⋅3+42)⋅4-(2-7)
Multiply -1 by 3.
(11-3+42)⋅4-(2-7)
Raise 4 to the power of 2.
(11-3+16)⋅4-(2-7)
(11-3+16)⋅4-(2-7)
Simplify the expression.
Subtract 3 from 11.
(8+16)⋅4-(2-7)
24⋅4-(2-7)
Subtract 7 from 2.
24⋅4–5
Multiply -1 by -5.
24⋅45
Raise 4 to the power of 5.
24⋅1024
Multiply 24 by 1024.
24576
24576
Evaluate (11-|7-10|+4^2)/(4^(2-7))

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