simplify the following expressions by applying the laws of exponents ( show your solutions)
1) (x⁴y³) (5׳y²)
2) 6×⁴y⁴
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3×⁴y²
3) 5׳y-⁴
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2×-²y³
4) (2a³b²)⁰(3a²b)²
5) (2p—³ q⁴)²
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simplify the following expressions by applying the laws of exponents ( show your solutions)
1) (x⁴y³) (5׳y²)
2) 6×⁴y⁴
------------
3×⁴y²
3) 5׳y-⁴
-------------
2×-²y³
4) (2a³b²)⁰(3a²b)²
5) (2p—³ q⁴)²
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Answer:
1. (x⁴y³)(5x³y²)
= x⁴y³ × 5x³y²
= 5x⁷y⁵
2. 6×⁴y⁴ / 3×⁴y²
= 2xy²
3. 5׳y-⁴ / 2×-²y³
= 5x⁵y-⁴ / 2y³
= 5x⁵ / 2y⁷
4. (2a³b²)⁰(3a²b)²
= 1×9a⁴b²
= 9a⁴b²
5. (2p—³ q⁴)²
= (1×2/p³×q⁴)²
= (2q⁴/p³)²
= (4q⁸/p⁶)
Step-by-step explanation:
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