Question

please answer this fast​

Answer 1

Step-by-step explanation:

(a) a³ x b⁻⁷ x a⁻⁴ x b³

= (a³ x a⁻⁴) x (b⁻⁷ x b³)

= (a³⁺⁽⁻⁴⁾) x (b⁻⁷⁺³)

= a³⁻⁴ x b⁻⁴

= a⁻¹ x b⁻⁴

= a⁻¹b⁻⁴

(b) (-1) x (-1)² x (-1)³

= (-1) x (1) x (-1)

= (-1) x (-1)

= 1

(c) (-3)⁻² x (-3)⁴ x (-3)⁻³

= (-3)⁽⁻²⁾⁺⁴⁺⁽⁻³⁾

= (-3)⁻²⁺⁴⁻³

= (-3)⁻¹

= (-1/3)

(d) (-2/3)⁻² x (-2/3)⁷ x (-2/3)⁻⁴

= (-2/3)⁽⁻²⁾⁺⁷⁺⁽⁻⁴⁾

= (-2/3)⁻²⁺⁷⁻⁴

= (-2/3)¹ or (-2/3) [both are correct].

If you find it difficult to understand the steps, you can check the identities used for exponents and relate this to it.

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