If p=\sqrt[4]{m^8} , q=\sqrt[4]{n^8} , n is not equal to 0, and m=5n, then \frac{p}{q}=

If p=\sqrt[4]{m^8} , q=\sqrt[4]{n^8} , n is not eq... | Free GMAT Practice Question | GMAT Panda

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GMAT Quant — Algebra (Exponents)

If p = 4 m^{8}, q = 4 n^{8}, n is not equal to 0, and m = 5 n, then \frac{p}{q} =

Explanation	Calculations	Help
$We first convert each fourth root to a fractional exponent using "Roots as Fractional Exponents", then simplify the exponents$	$p = m^{8 \times \frac{1}{4}} = m^{2}$	Theory & Tactics Method Card ROOT2 Click to view full details
$We form the ratio and rewrite it as a power of a fraction using "Exponents of Fractions"$	$\frac{p}{q} = \frac{m ^{2}}{n ^{2}} = (\frac{m}{n})^{2}$	Theory & Tactics Method Card EXP0-B Click to view full details
$We substitute "m = 5n" into the fraction and simplify$	$\frac{m}{n} = \frac{5 n}{n} = 5 and 5^{2} = 25$	Theory & Tactics Method Card FDPR2-A Click to view full details

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B

GMAT Quant — Algebra (Exponents)

If p = 4 m^{8}, q = 4 n^{8}, n is not equal to 0, and m = 5 n, then \frac{p}{q} =

Explanation	Calculations	Help
$We first convert each fourth root to a fractional exponent using "Roots as Fractional Exponents", then simplify the exponents$	$p = m^{8 \times \frac{1}{4}} = m^{2}$	Theory & Tactics Method Card ROOT2 Click to view full details
$We form the ratio and rewrite it as a power of a fraction using "Exponents of Fractions"$	$\frac{p}{q} = \frac{m ^{2}}{n ^{2}} = (\frac{m}{n})^{2}$	Theory & Tactics Method Card EXP0-B Click to view full details
$We substitute "m = 5n" into the fraction and simplify$	$\frac{m}{n} = \frac{5 n}{n} = 5 and 5^{2} = 25$	Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

B