1.

(√36)5 × [(1296)(1/4)]7 ÷ 610 = 6? ÷ 21681). 262). 313). 214). 24

Answer»

(√36)5 × [(1296)(1/4)]7 ÷ 610 = 6? ÷ 2168

⇒ (65) × (6)7 ÷ (6)10 = 6? ÷ (63)8

By using the LAW of indices,

am ÷ aN = a{m – n}

am × an = a{m + n}

⇒ 65 + 7 - 10 = 6? ÷ 624

⇒ 612 - 10 = 6? - 24

⇒ 62 = 6? - 24

⇒ 2 = ? - 24

∴ ? = 26


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