0. Review of Algebra

Radical Expressions

Textbook Question
Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. $\sqrt{6 x} \cdot \sqrt{3 x^{2}}$
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Textbook Question
Simplify each expression. See Example 1. (35m⁴n)(-2/7mn²)
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Textbook Question
Simplify each exponential expression in Exercises 23–64. x⁻²y
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Textbook Question
In Exercises 15–24, divide using the quotient rule.-56a^12b^10c^8/7ab^2c^4
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Textbook Question
In Exercises 21–38, rewrite each expression with rational exponents._∛5
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Textbook Question
In Exercises 21–32, simplify by factoring.__√28
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Textbook Question
In Exercises 1–38, solve each radical equation.____ ____√x - 4 + √x + 4 = 4
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Textbook Question
In Exercises 1–38, multiply as indicated. If possible, simplify any radical expressions that appear in the product.(√2 + √7)²
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Textbook Question
Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 1–3. (6⁴)³
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Textbook Question
In Exercises 25–34, use the zero-exponent rule to simplify each expression.6⁰
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Textbook Question
In Exercises 21–38, rewrite each expression with rational exponents.___⁵√11x
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Textbook Question
In Exercises 21–32, simplify by factoring.___√40x
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Textbook Question
In Exercises 1–38, multiply as indicated. If possible, simplify any radical expressions that appear in the product.(√2x - √y)²
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Textbook Question
Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 1–3. (-2x⁵)⁵
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Textbook Question
In Exercises 11–28, add or subtract as indicated. You will need to simplify terms to identify the like radicals.______ ___√4x - 12 + √x-3
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