step 1 Number 70, we want to simplify the square root of n to the 21st power. So now the exponents are

Simplify. √(n^21)

Name: Problem 70, Chapter 9: Elementary Algebra
Uploaded: 2021-07-15T18:31:57-08:00
Duration: 1 min 59 s
Channel: Chris Wojturski
Description: Simplify. √(n^21)

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Key Concepts

Radical Expressions

Radical expressions involve the use of roots, such as square roots, cube roots, etc., which are another way of writing fractional exponents. Understanding how to convert between radical notation and exponent notation allows for simplification and manipulation of algebraic expressions.

Fractional Exponents

Fractional exponents express roots in terms of powers, where the denominator of the fraction represents the root. For example, the square root of a number is equivalent to raising that number to the 1/2 power. This representation is useful in applying exponent rules consistently to simplify expressions.

Exponent Rules

Exponent rules, including the power of a power rule and the product rule, are fundamental in simplifying expressions where variables have exponents. The power of a power rule states that raising an exponential expression to another power results in multiplying the exponents, which is key when simplifying expressions involving radicals and higher exponents.

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