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2x2 x 3x2y2 x 5x2y is equivalent to:
- a)30x8y3
- b)30x8y2
- c)30x6y3
- d)11x8y3
- e)11x6y2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
2x2 x 3x2y2 x 5x2y is equivalent to:a)30x8y3b)30x8y2c)30x6y3d)11x8y3e)...
To multiply these quantities, first group like terms: 2x2 × 3x2y2 × 5x2y = (2 × 3 × 5)(x2x2x2)(y2y).
To multiply the same base, add the exponents: (2 × 3 × 5)(x2x2x2)(y2y) = 30x6y3.
To multiply the same base, add the exponents: (2 × 3 × 5)(x2x2x2)(y2y) = 30x6y3.
Community Answer
2x2 x 3x2y2 x 5x2y is equivalent to:a)30x8y3b)30x8y2c)30x6y3d)11x8y3e)...
Expanding the expression:
To simplify the given expression, we need to multiply the coefficients and add the exponents of the variables.
Given expression:
2x^2 * 3x^2y^2 * 5x^2y
Multiplying the coefficients:
2 * 3 * 5 = 30
Adding the exponents of x:
2 + 2 + 2 = 6 (x^6)
Adding the exponents of y:
2 + 1 = 3 (y^3)
Combining the results:
30x^6y^3
Therefore, the simplified expression is 30x^6y^3, which corresponds to option C: 30x^6y^3.
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2x2 x 3x2y2 x 5x2y is equivalent to:a)30x8y3b)30x8y2c)30x6y3d)11x8y3e)11x6y2Correct answer is option 'C'. Can you explain this answer?
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