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(16)9 ÷ (16)4 x (16)3 = (16)?
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- 6.75
- 8
- 10
- 12
- None of the above
Correct Option: B
Given that ,(16)9 ÷ (16)4 x (16) 3 = (16)?
Apply the law of Fractional Exponents and Laws of Exponents
(am) x (an) = am + n-------------------1
am ÷ an = am ? n----------------2
⇒ (16)9 ÷ (16)4 x (16) 3 = (16)?
⇒ (16)? = (16)9 + 3 - 4
⇒ ? = 12 - 4 = 8