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Mathematics
Problem
Let
a
>
1
a>1
a
>
1
and
p
,
q
∈
R
p,q\in\mathbb R
p
,
q
∈
R
with
p
<
q
p<q
p
<
q
. Which of the following is always true? a)
a
p
>
a
q
a^{p}>a^{q}
a
p
>
a
q
b)
a
p
<
a
q
a^{p}<a^{q}
a
p
<
a
q
c)
a
p
−
q
>
1
a^{p-q}>1
a
p
−
q
>
1
d) The relation cannot be determined
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