B22. Math. 10D. periode 1 - 2.

MathFaculty. 09.32am

Today we are learning about Rational (Fractional) Indices and Exponential Equations. It is taken from the Mathematics for year 10 5th edition by Haese & Harris Publications.

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Rational (Fractional) Indices

Let me write in simple sentence.

In general, we define a ^ (1/n) = nth root of a.

So, if we have 32 ^ (1/2) = 2th root of 32

then the answer will be 2 ^ (5/2) = 4.sqrt(2).

Easy right? he3.

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Exponential Equations

If a ^ x = a ^ k, then x = k.

i.e. if the base numbers are the same, we can equate indices.

Let say, we have 3 ^ (x+2) = 1/27, then

3 ^ (x+2) = 1/(3 ^ 3)

3 ^ (x+2) = 3 ^ (-3)

x + 2 = -3

x = -5

Easy too! hi3.

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Keep on math-ing kids!

ganbatte!