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Maths MCQ - Exponent

1 If 64¹² ÷ 4¹⁵ = 64^?, then what will come in place of question mark(?)?

64¹² ÷ 4¹⁵ = 64^?
⇒ (2⁶)¹² ÷ (2²)¹⁵ = (2⁶)^?
⇒

⇒ (2)⁴² = (2)^{6 × ?}
Comparing the power of both side,
42 = 6 × ? ⇒ ? = 7

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Question:

If 6412 ÷ 415 = 64?, then what will come in place of question mark(?)?

A. 3
B. 5
C. 7
D. 9

Correct answer: C

Explanation:

6412 ÷ 415 = 64? ⇒ (26)12 ÷ (22)15 = (26)? ⇒ ⇒ (2)42 = (2)6 × ? Comparing the power of both side, 42 = 6 ×…

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