Option E. None of these. Answer & Solution Answer: Option E Solution: & ( 64 )^4 ÷ ( 8 )^5 & = ( 8^2 )^4 ÷ ( 8 )^5 & = ( 8 )^ ( 2 × 4 ) ÷ 8^5 & = 8^88^5 & = 8^ ( 8 - 5 ) & = 8^3

Aptitude · Q25

Surds And Indices

Competitive Exams · Aptitude · question 25

Q25

(64)4 ÷ (8)5 = ?

(8)⁸

(8)²

(8)¹²

(8)⁴

None of these

Answer

Answer: Option E

Solution

Answer: Option E

Solution:

(64)^{4} \div (8)^{5} = (8^{2})^{4} \div (8)^{5} = (8)^{(2 \times 4)} \div 8^{5} = \frac{8 ^{8}}{8 ^{5}} = 8^{(8 - 5)} = 8^{3}

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