Simplifying Nonperfect Roots Answers
Which expression is equivalent to
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5
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⇒ -8
-8
⇒ -2
-2
The prime factorization of 324 can be written as 2a • 3b, where a = and b = Find the value of the exponent c that makes the second expression equivalent to the first expression where x ≥ 0 and y ≥ 0.
.
4
What is the simplest form of ?
c =
4
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Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. a = and b =
Describe the error Sadie made, and explain how to find the correct answer.
Sadie did not factor a⁷ using the largest perfect-square power: it should be a⁶·a, not a²·a⁵. Taking the square root of a⁶ gives a³, so the correct simplification is 3a³b√(6ab).
Check each item below that you included in your response.
Which expression represents the side length of the foundation, in feet?
What is the simplest form of the expression for the side length, in feet?
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