Square roots are most often written using a radical sign, like this, . But there is another way to represent the taking of a root. You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction. For example, can be written as .
Can’t imagine raising a number to a rational exponent? They may be hard to get used to, but rational exponents can actually help simplify some problems. Let’s explore the relationship between rational (fractional) exponents and radicals.
Rewriting Radical Expressions Using Rational Exponents
As the triangles are congruent
We have to show the congruence in such a way that the sides which are equal for both triangles , are written in same order
As we can see in the figure
Side BL = PF And BG=PX
And Angle B = Angle B
BLG is congruent to PFX
Answer is BLG
Answer: before you can use the reason CPCTC it must be stated that the triangles are congruente.
Explanation:
1) CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.
2) Therefore, to use that reason you first need to prove that the the triangles are congruent.
3) Once, it has been stated that the triangles are congruent, then you can use the reason to state the the corresponding segments are congruent which will let you to state the length of any side of one triangle known the corresponding side of the other triangle, because they are congruent (have the same length).
Cube root of m^12 = (m^12)^1/3 = m^4. cube rootof n^15<span> = (n^</span>15)^1/3 = n^(15<span>*1/3) = n^5
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