Simplifying Radical Expressions Assignment
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Which one do you like?
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Option 1
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Option 2
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Option 3
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Option 4
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This assignment focuses on simplifying radical expressions and understanding the laws of exponents. It assesses skills in converting expressions into single exponential form and verifying exponent rules, essential for algebra students.
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Which choice represents the expression below as a single exponential expression? 65 * 63
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6^8 * 6^8
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6^15
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6^2
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6^8
Correct Answer
A. 6^8Explanation
The correct answer is 6^8. The expression 65 * 63 can be written as 6^8 because both numbers 65 and 63 can be expressed as powers of 6. By multiplying the powers together, we get 6^8.Rate this question:
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- 3.
Which choice represents the expression below as a single exponential expression? 211 * 25
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2^16 * 2^16
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2^16
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2^55
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2^6
Correct Answer
A. 2^16Explanation
The expression 211 * 25 can be simplified by writing both numbers as powers of 2. Since 211 is not a power of 2, we cannot simplify it further. However, 25 can be written as 2^5. Therefore, the expression becomes 2^11 * 2^5. Using the rule of exponents, we can add the exponents when multiplying powers with the same base. So, 2^11 * 2^5 simplifies to 2^(11+5) which is equal to 2^16.Rate this question:
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- 4.
Which choice represents the expression below as a single exponential expression? x9 * x7
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X^16 * x^16
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X^63
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X^2
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X^16
Correct Answer
A. X^16Explanation
The correct answer is x^16 because when multiplying two exponential expressions with the same base, you add the exponents. In this case, x^9 * x^7 becomes x^(9+7) which simplifies to x^16.Rate this question:
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- 5.
Which choice represents the expression below as a single exponential expression? y8 * y3
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Y^5
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Y^24
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Y^11 * 4y11
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Y^11
Correct Answer
A. Y^11Explanation
The given expression can be simplified by adding the exponents when multiplying variables with the same base. In this case, y^8 * y^3 = y^(8+3) = y^11. Therefore, the expression y^8 * y^3 can be represented as y^11, which is the correct answer.Rate this question:
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- 6.
The Multiplication Law of Exponents says that for any numbers b, n, and m, bn * bm = bn + m.
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True
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False
Correct Answer
A. TrueExplanation
The explanation for the given correct answer is that the Multiplication Law of Exponents states that when multiplying two numbers with the same base, you can add their exponents. In this case, the law is applied to the expression bn * bm, where b is the base and n and m are the exponents. By applying the law, we can rewrite the expression as bn+m. Therefore, the statement is true.Rate this question:
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- 7.
Use the Multiplication Law of Exponents to simplify the exponential expression below. a100 * a300
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A^300
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A^500
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A^30
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A^400
Correct Answer
A. A^400Explanation
The Multiplication Law of Exponents states that when multiplying two exponential expressions with the same base, you can add the exponents. In this case, we are multiplying a^100 and a^300, both with the base a. Therefore, we can add the exponents 100 and 300 to get 400. So, the simplified exponential expression is a^400.Rate this question:
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Mar 21, 2023Quiz Edited by
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Dec 05, 2011Quiz Created by
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