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If p-4 and q=-8 what is the value of #p^(3/2)-q^(-2/3)#?

Answer 1

Isaiah Anthony

#31/4#

information given

concepts applied

calculation

solution #31/4#

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Answer 2

Eva Adamson

#7 3/4#

#color(blue)(p^(3/2)-q^(-2/3)#

#color(orange)(p=4#

#color(orange)(q=-8#

Let's put the variables in the equation

#rarr4^(3/2)-(-8^(-2/3))#

Apply the formulas

#*color(brown)(x^(z/y)=root(y)(x^z)#

#*color(brown)(x^(-y)=1/(x^y)#

#rarrsqrt(4^3)-1/(-8^(2/3))#

#rarrsqrt(64)-1/(root(3)(-8^2))#

#rarr8-1/root(3)(64)#

#rarr8-1/4#

#color(green)(rArr31/4=7 3/4#

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Answer 3

Julia Adams

The value of ( p^{3/2} - q^{-2/3} ) when ( p = -4 ) and ( q = -8 ) is ( 8\sqrt{2} - \frac{1}{4\sqrt{2}} ).

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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.