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Fractional Exponents Video Lecture | Quantitative Aptitude (Quant) - CAT

185 videos|158 docs|113 tests

FAQs on Fractional Exponents Video Lecture - Quantitative Aptitude (Quant) - CAT

1. What are fractional exponents?
Ans. Fractional exponents are a way of representing powers or roots of a number using fractions as the exponent. For example, the fraction 1/2 as an exponent represents the square root of a number.
2. How do you simplify expressions with fractional exponents?
Ans. To simplify expressions with fractional exponents, we can use the properties of exponents. For example, to simplify x^(3/2), we can rewrite it as the square root of x cubed.
3. How do fractional exponents relate to radicals?
Ans. Fractional exponents are equivalent to radical expressions. For instance, x^(1/2) is the same as the square root of x. Fractional exponents provide a way to express roots of numbers as exponents.
4. Can fractional exponents be negative?
Ans. Yes, fractional exponents can be negative. A negative exponent is equivalent to the reciprocal of the positive exponent. For example, x^(-1/2) is equal to 1/(square root of x).
5. What are the rules for combining expressions with fractional exponents?
Ans. When combining expressions with fractional exponents, we can use the rules of exponentiation. For instance, when multiplying two expressions with the same base but different fractional exponents, we can add the exponents.
185 videos|158 docs|113 tests

Timeline

00:00 Fractional Exponents
00:26 Power Law
01:14 Applications of Power Law (Examples)
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