simplify and give reasons (5/6) power of 3 * (6/5) power of -8
Answers
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Step-by-step explanation:
(
6
5
)
3
×(
5
6
)
−8
= (\frac{5}{6})^{3} × (\frac{5}{6})^{8}(
6
5
)
3
×(
6
5
)
8
= (\frac{5}{6})^{(3+8)}(
6
5
)
(3+8)
= (\frac{5}{6})^{11}(
6
5
)
11
Identities used
\frac{a}{b}^{(-m)} = \frac{b}{a}^{m}
b
a
(−m)
=
a
b
m
a^{m} × a^{n} = a^{(m+n)}a
m
×a
n
=a
(m+n)
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