Answer: B - The value of the expression is 5. Use ax × ay = a^(x + y) and ax/ay = a^(x − y).(54 × 56)/(5^(-4) × 513 ) = 5^(4 + 6)/5^( − 4 + 13) = 510/59 = 5^(10 − 9) = 51 = 5

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SAT Prep

Category - Math

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Simplify the expression (5⁴ × 5⁶)/(5^( − 4) × 5¹3 ).

Explanation

Answer: B - The value of the expression is 5. Use a^x × a^y = a^(x + y) and a^x/a^y = a^(x − y).
(5⁴ × 5⁶)/(5^(-4) × 5¹3 ) = 5^(4 + 6)/5^( − 4 + 13) = 5¹0/5⁹ = 5^(10 − 9) = 5¹ = 5

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