Question

simplify and give reason 5/6^3 × 6/5^-8​

Answer 1

Step-by-step explanation:

$(\frac{5}{6})^{3} × (\frac{6}{5})^{-8}$

= $(\frac{5}{6})^{3} × (\frac{5}{6})^{8}$

= $(\frac{5}{6})^{(3+8)}$

= $(\frac{5}{6})^{11}$

Identities used

1. $\frac{a}{b}^{(-m)} = \frac{b}{a}^{m}$
2. $a^{m} × a^{n} = a^{(m+n)}$

Answer 2

Answer:

5/6 × 6/5

they two have powers

so, for 6/5 power -8 to change this-8 into +8

we should do reciprocal

then 5/6 power3 × 5/6 power 8

= 5/6 power 3+8

= 5/6 power 11

Step-by-step explanation:

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