Question

Simplify and give reasons (4/7)⁻⁵ x (7/4)⁻⁷

Answer 1

your answer is 16/49

Answer 2

Answer:

 $(\frac{4}{7})^{2}$

Step-by-step explanation:

Given : $(\frac{4}{7})^{-5} \times (\frac{7}{4})^{-7}$

To Find : Simplify

Solution:

$(\frac{4}{7})^{-5} \times (\frac{7}{4})^{-7}$

Property: $a^{-x}=(\frac{1}{a})^x[/tex</p><p>So,  [tex](\frac{4}{7})^{-5} \times (\frac{4}{7})^{7}$

Property: $a^x \times a^y = a^{x+y}$

So,  $(\frac{4}{7})^{-5+7}$

 $(\frac{4}{7})^{2}$

Hence  $(\frac{4}{7})^{-5} \times (\frac{7}{4})^{-7}$ =   $(\frac{4}{7})^{2}$