Simplify

125^-1/3

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1/5

Step-by-step explanation: To simplify , let's first deal with the negative in the exponent. means the same thing as .

Now, it's important to understand that if we have an exponent of 1/3, we take the cube root of the base. In other words, means the same thing as the cube root of 125. So we have .

Next, it's important to recognize that 125 is a perfect cube (5 x 5 x 5) or 5³. So the cube root of 125 is 5 and we have 1/5.

Therefore, simplifies to 1/5.

Make sure you know your perfect cubes such as 125. It will make life much easier as you work through these types of problems.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.