How do you evaluate #z^4-w# if # w=6, x=0.4, y=1/2, z=-3#?

Answer 1

#75#

Finding the value of an algebraic expression given numerical values for the variables is known as "evaluating" the expression.

#color(blue)(z)^4 - color(red)(w)" "(color(blue)(z=-3) " " and color(red)(w = 6))#

# =color(blue)((-3))^4 - color(red)(6)#

#= color(blue)(81) - color(red)(6)#

#=75#

Be aware that:

#-3^4 " but " (-3)^4 # #=-(3xx3xx3xx3)" "=(-3) xx(-3) xx(-3) xx(-3)# #=-81color(white)(..........................)= +81#

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Answer 2

Savannah Anderson

z^4 - w = (-3)^4 - 6 = 81 - 6 = 75.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.