What is the value of $p k q^{2} - p^{2} k q$, if $... | Free GMAT Practice Question | GMAT Panda

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What is the value of p k q^{2} - p^{2} k q, if p = 3, k = - 2, and q = 4 ?

Explanation	Calculations	Help
$We list the given values so we can substitute them into the expression$	$p = 3 k = - 2 q = 4$
$We calculate the first term by applying the order of operations: evaluate the exponent before multiplication.$	$p k q^{2} = 3 \times (- 2) \times 4^{2} = 3 \times (- 2) \times 16 = 3 \times - 32 = - 96$	Theory & Tactics Method Card ALG5-D Click to view full details
$We calculate the second term by applying the order of operations: evaluate the exponent before multiplication.$	$p^{2} k q = 3^{2} \times (- 2) \times 4 = 9 \times (- 2) \times 4 = - 18 \times 4 = - 72$	Theory & Tactics Method Card ALG5-D Click to view full details
$We subtract the second term from the first to find the value of the expression.$	$p k q^{2} - p^{2} k q = - 96 - (- 72) = - 96 + 72 = - 24$

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B

What is the value of p k q^{2} - p^{2} k q, if p = 3, k = - 2, and q = 4 ?

Explanation	Calculations	Help
$We list the given values so we can substitute them into the expression$	$p = 3 k = - 2 q = 4$
$We calculate the first term by applying the order of operations: evaluate the exponent before multiplication.$	$p k q^{2} = 3 \times (- 2) \times 4^{2} = 3 \times (- 2) \times 16 = 3 \times - 32 = - 96$	Theory & Tactics Method Card ALG5-D Click to view full details
$We calculate the second term by applying the order of operations: evaluate the exponent before multiplication.$	$p^{2} k q = 3^{2} \times (- 2) \times 4 = 9 \times (- 2) \times 4 = - 18 \times 4 = - 72$	Theory & Tactics Method Card ALG5-D Click to view full details
$We subtract the second term from the first to find the value of the expression.$	$p k q^{2} - p^{2} k q = - 96 - (- 72) = - 96 + 72 = - 24$

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B