Bell: Directions:determine whether the triangles - id8789390, Randy11111

Question

Mathematics: Bell: Directions:determine whether the triangles are congruent by aa~,SS~,SSA~, or not similar

Randy11111 · Accepted Answer

The simplest form of the expression is 16 a²b²

Step-by-step explanation:

* Lets explain how to solve the problem

- To simplify any fraction with exponent you must put it with positive

exponent

- Ex: the fraction $(\frac{2}{3})^{-1}$ not in the simplest form

because it has negative exponent

- To change the negative exponent to positive exponent reciprocal the

fraction, $(\frac{3}{2})^{1}$ and this is the simplest form of the fraction

* Now lets solve the problem

∵ The expression is $(\frac{1}{4ab})^{-2}$ , where a and b ≠ 0

- At first reciprocal the fraction

∴ $(\frac{1}{4ab})^{-2}=(\frac{4ab}{1})^{2}$

- Then solve the power

∵ 4² = 16

∵ (ab)² = a²b²

∴ (4ab)² = 16 a²b²

* The simplest form of the expression is 16 a²b²

Bell:
Directions:determine whether the triangles are congruent by aa~,SS~,SSA~, or not similar