Witch expressions are equivalent
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Answer:
y-⁸y³x⁰x-²
=y-⁵x-2
=1/y⁵×1/x²
=1/y⁵.x²(Option c)
Answer:
First option and third option
[tex]{ \tt{ {y}^{ - 8} {y}^{3} {x}^{0} {x}^{ - 2} }} \\ \\ { \tt{ = \frac{ {y}^{3} }{ {y}^{8} {x}^{2} } }}[/tex]
• from law of indices:
[tex]→ \: { \boxed{ \tt{a {}^{ - n} = \frac{1}{ {a}^{n} } } \:}}[/tex]
• again from law of indices:
[tex]→ \: { \tt{ {a}^{n} \times {a}^{m} = {a}^{(n + m)} }}[/tex]
Therefore:
[tex]{ \tt{ = \frac{ 1 }{ {y}^{5} {x}^{2} } }} \\ \\ = { \tt{ {y}^{ - 5} {x}^{ - 2} }}[/tex]