CA Foundation Exam > CA Foundation Questions > 16x^-3y^2*8^-1x^3y^-2?
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16x^-3y^2*8^-1x^3y^-2?
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16x^-3y^2*8^-1x^3y^-2?
Solution:
Given expression: 16x-3y2 * 8-1x3y-2
We will simplify the given expression by using the following rules of exponents:
1. am * an = am+n
2. (am)n = amn
3. a-m = 1/am
Step 1: Simplify the coefficients
16 * 1/8 = 2
Hence, the given expression becomes 2x-3y2 * x3 * 8-1y-2
Step 2: Simplify the variables with the same base
We can simplify the variables with the same base by adding their exponents.
2x-3+3y2-2 * 8-1
2x0y0 * 1/8
2 * 1/8
1/4
Step 3: Final Answer
Hence, the final simplified expression is 1/4.
Therefore, 16x-3y2 * 8-1x3y-2 = 1/4.
Given expression: 16x-3y2 * 8-1x3y-2
We will simplify the given expression by using the following rules of exponents:
1. am * an = am+n
2. (am)n = amn
3. a-m = 1/am
Step 1: Simplify the coefficients
16 * 1/8 = 2
Hence, the given expression becomes 2x-3y2 * x3 * 8-1y-2
Step 2: Simplify the variables with the same base
We can simplify the variables with the same base by adding their exponents.
2x-3+3y2-2 * 8-1
2x0y0 * 1/8
2 * 1/8
1/4
Step 3: Final Answer
Hence, the final simplified expression is 1/4.
Therefore, 16x-3y2 * 8-1x3y-2 = 1/4.
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16x^-3y^2*8^-1x^3y^-2?
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16x^-3y^2*8^-1x^3y^-2? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 16x^-3y^2*8^-1x^3y^-2? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 16x^-3y^2*8^-1x^3y^-2?.
16x^-3y^2*8^-1x^3y^-2? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 16x^-3y^2*8^-1x^3y^-2? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 16x^-3y^2*8^-1x^3y^-2?.
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