Question

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Answer 1

Answer:

3.

( I suppose )...

Step-by-step explanation:

{ ( 64 )^-⅙ × ( 216 )^-⅓ × ( 81 )¼} / { ( 512 )^-⅓ × ( 16 )¼ × ( 9 )^-½ }

= { ( 2⁶ )^-⅙ × ( 6³ )^-⅓ × ( 3⁴ )¼ } / { ( 2⁹ )^-⅓ × ( 2⁴ )¼ × ( 3² )^-½ }

= [ { 2 ( ⁶ × ( ^-⅙ ) ) } × { 6 ( ³ × ( ^-⅓ ) ) } × { 3 ( ⁴ × ¼ ) } ] / [ { 2 ( ⁹ × ( ^-⅓ ) ) } × { 2 ( ⁴ × ¼ ) } × { 3 ( ² × ( ^-½ ) ) } ]

= ( 2^-¹ × 6^-¹ × 3¹ ) / ( 2^-³ × 2¹ × 3^-¹ )

= 2 ( ^-¹^+³^-¹ ) × 2^-¹ × 3^-¹ × 3¹^+¹ )

= 2 ( ¹^-¹ ) × 3 ( ²^-¹)

= 2⁰ × 3¹

= 1 × 3

= 3.

---×---

* a to the power m . a to the power n

= a to the power m + n...

* a to the power m / a to the power n

= a to the power m - n...

...

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Answer 2

Answer:

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