Write √(y^9) by using rational exponents.

Name: Problem 7, Chapter 6: Intermediate Algebra
Uploaded: 2020-06-21T06:35:57-08:00
Duration: 19 s
Channel: Ankit Gupta
Description: Write √(y^9) by using rational exponents.

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Key Concepts

Rational Exponents

Rational exponents express roots as fractions; for example, writing the n-th root of a number as raising that number to the 1/n power. This approach links radical notation with exponentiation, allowing for easier application of algebraic rules.

Laws of Exponents

The laws of exponents, such as the power-of-a-power rule, state that when an exponent is raised to another exponent, the exponents multiply. This rule is essential when converting a radical expression, like a square root, into an expression with rational exponents.

Radical Expressions

Radical expressions typically involve roots, such as square roots or cube roots, and can be rewritten using rational exponents. This conversion simplifies operations like multiplication and division by enabling the use of standard exponent rules, resulting in a more straightforward algebraic manipulation.

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