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11 Cards in this Set

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The value of the positive fraction or decimal (between 0 and 1) will decrease as the exponent's value is increased. True or False?

True. Example;

Odd exponents give negative answer when the base is negative. True or False?

True. Example: (-1)^1 = -1

True.

When is the result of a base, which is a fraction, to exponent smaller than the actual base? I.e. how do the fractions behave when they are raised to an even or an odd exponent?

To raise a fraction to negative power, raise its reciprocal to the equivalent positive power. True or false.

True. Example in photo.

For any X, √(X)^2 = |X|. True or false?

True.

Even power of a variable is the square of the power with half the exponent.

True. For example.

When we have different bases multiplying together and same exponents then simply multiply the bases together and keep the exponent the same.

Whenever we've same number of common bases as the base (3 bases of 3 or 4 bases of 4) with common exponents, which logic will apply?

When fractions are to be compared in size such that their denominators have exponents then we need to make denominators same by taking LCM of all bases.

LCM of bases is the highest powered bases. We multiply this LCM with each fraction to make denominator same.

For any 0 < x < 1, that is proper fraction, always remember x^2 < x < √x