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SAT Prep

Category - Math

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Calculate (8³ × 16⁶)/4¹5 .

Explanation

Answer: D - The value of the expression is 8. Use a^x × a^y = a^(x + y), a^x/a^y = a^(x − y) and (a^x )^y = a^xy. The common base for 4, 8, and 16 is 2.
(8³ × 16⁶)/4¹5 = ((2³)³ × (2⁴)⁶)/(2²)¹5 = (2⁹ × 2²4)/2³0 = 2^(9 + 24)/2³0 = 2³3/2³0 = 2^(33 − 30) = 2³ = 8

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