Question

Witch expressions are equivalent

Answer 1

y-⁸y³x⁰x-²

=y-⁵x-2

=1/y⁵×1/x²

=1/y⁵.x²(Option c)

Answer 2

First option and third option

`{ \tt{ {y}^( - 8) {y}^(3) {x}^(0) {x}^( - 2) }} \\ \\ { \tt{ = \frac{ {y}^(3) }{ {y}^(8) {x}^(2) } }}`

• from law of indices:

`→ \: { \boxed{ \tt{a {}^( - n) = \frac{1}{ {a}^(n) } } \:}}`

• again from law of indices:

`→ \: { \tt{ {a}^(n) * {a}^(m) = {a}^((n + m)) }}`

Therefore:

`{ \tt{ = \frac{ 1 }{ {y}^(5) {x}^(2) } }} \\ \\ = { \tt{ {y}^( - 5) {x}^( - 2) }}`