0. Review of Algebra

Radical Expressions

Textbook Question
In Exercises 45–66, divide and, if possible, simplify.______√54a⁷b¹¹√3a⁻⁴b⁻²
Textbook Question
Simplify the radical expressions in Exercises 58 - 62. ∜(32x⁵)/∜(16x) (Assume that x > 0.)
Textbook Question
In Exercises 93–104, rationalize each numerator. Simplify, if possible.√x + 4 √x
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Textbook Question
Simplify each expression. Assume all variables represent nonzero real numbers. (-5n⁴/r²)³
Textbook Question
Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (p^-2)⁰/5p^-4
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Textbook Question
In Exercises 79–112, use rational exponents to simplify each expression. If rational exponents appear after simplifying, write the answer in radical notation. Assume that all variables represent positive numbers.__³√y² ⁶√y
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Textbook Question
In Exercises 39–54, rewrite each expression with a positive rational exponent. Simplify, if possible.16^-¾
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Textbook Question
Simplify each radical. Assume all variables represent positive real numbers. ∛(16 (-2)⁴ (2)⁸)
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Textbook Question
In Exercises 39–64, rationalize each denominator.3³√ ----4
Textbook Question
In Exercises 33–38, express the function, f, in simplified form. Assume that x can be any real number.___________f(x) = √5x² - 10x + 5
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Textbook Question
Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (x^1/4y^2/5)²⁰/x²
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Textbook Question
Simplify each radical. Assume all variables represent positive real numbers. ∛250
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Textbook Question
In Exercises 1–38, multiply as indicated. If possible, simplify any radical expressions that appear in the product.(3 - 5√2) (3 + 5√2)
Textbook Question
Evaluate each expression for p=-4, q=8, and r=-10. q+r / q+p
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Textbook Question
In Exercises 1–20, evaluate each expression, or state that the expression is not a real number.___-√ 36
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