utkarsh282010 utkarsh282010

08-06-2022
Mathematics

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[tex]{x}^{3} {y}^{4} \times {x}^{5} {y}^{ - 5} [/tex]
pls solve this problem

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loneguy loneguy

08-06-2022

[tex]x^3 y^4 \cdot x^5 y^{-5}\\\\=x^{5+3} \cdot y^{4-5}~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\=x^8 y^{-1}\\\\=\dfrac{x^8}{y}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-n} = \dfrac 1{a^n},~~~ a \neq 0\right][/tex]

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