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Q7 Simplify 2^2 x^−1 y^−3/9^−1 x^0 y^−8
. Write your answer using only positive exponents.
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GPT-5 mini
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Start with (2^2 x^{-1} y^{-3})/(9^{-1} x^0 y^{-8}).
2^2 = 4, x^0 = 1, and dividing by 9^{-1} is multiplying by 9, dividing by y^{-8} is multiplying by y^8. So
(4 x^{-1} y^{-3})/(9^{-1} y^{-8}) = 4·9·x^{-1}·y^{-3+8} = 36 x^{-1} y^5.
With only positive exponents: 36 y^5 / x.
2^2 = 4, x^0 = 1, and dividing by 9^{-1} is multiplying by 9, dividing by y^{-8} is multiplying by y^8. So
(4 x^{-1} y^{-3})/(9^{-1} y^{-8}) = 4·9·x^{-1}·y^{-3+8} = 36 x^{-1} y^5.
With only positive exponents: 36 y^5 / x.
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