How do you simplify ${(\frac{2}{5})}^{0}$ $(2/5)^0$ ?

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How do you simplify ${(\frac{2}{5})}^{0}$ $(2/5)^0$ ?

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Answer 1 · 2018-03-02T18:01:14

${(\frac{2}{5})}^{0} = 1$ $(2/5)^0=1$

Explanation:

${(\frac{2}{5})}^{0}$ $(2/5)^0$
${(\frac{a}{b})}^{m} = \frac{a^{m}}{b^{m}}$ $(a/b)^m=(a^m)/(b^m)$
Comparing
$a = 2$ $a=2$
$b = 5$ $b=5$
$m = 0$ $m=0$
Thus,
${(\frac{2}{5})}^{0} = \frac{2^{0}}{5^{0}}$ $(2/5)^0=(2^0)/(5^0)$
$a^{0} = 1$ $a^0=1$
Then
$2^{0} = 1$ $2^0=1$
$5^{0} = 1$ $5^0=1$
${(\frac{2}{5})}^{0} = \frac{1}{1}$ $(2/5)^0=1/1$
${(\frac{2}{5})}^{0} = 1$ $(2/5)^0=1$

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How do you simplify ${(\frac{2}{5})}^{0}$ $(2/5)^0$ ?

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