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emmasim [6.3K]
3 years ago
12

Simplify each expression. Use positive exponents. A^4b^-3 ab^-2

Mathematics
2 answers:
Leni [432]3 years ago
8 0
\dfrac{a^4b^{-3}}{ab ^{-2}}=\dfrac{a^4}{a^1}\cdot\dfrac{b^{-3}}{b^{-2}}=a^{4-1}\cdot b^{-3-(-2)}=a^3\cdot b^{-3+2}=a^3\cdot b^{-1}=a^3\cdot\dfrac{1}{b}=\\\\\\=\boxed{\dfrac{a^3}{b}}
choli [55]3 years ago
6 0
\dfrac{a^4b^{-3}}{ab^{-2}}

= {a^{4-1}b^{-3+2}}

= {a^{3}b^{-1}}

= \dfrac{a^3}{b}


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