1.

422 × 646 ÷ 640 = 4? × 361). 232). 243). 254). 12

Answer»

422 × 646 ÷ 640 = 4? × 36

By USING the LAW of INDICES,

(am )N = amn

⇒ 422 × 246 × 346 ÷ 640 = 4? × 36

⇒ 422 × 26 × 36 × 640 ÷ 640 = 4? × 36

By using the law of indices,

am ÷ an = a{m – n}

⇒ 422 × (22)3 × 36 – 6 × 640 – 40 = 4?

⇒ 422 × 43 = 4?

By using the law of indices,

am × an = a{m + n}

⇒ 422 + 3 = 4?

⇒ 425 = 4?

∴ ? = 25


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