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CHOOSE A METHOD You are using mental math to evaluate the expression 16^5/4 . Should you evaluate (sqrt [LLarge4](sqrt (16)))^5 or sqrt [Largesqrt [4](16^5) ? (sqrt [Large4](sqrt (16)))^5 sqrt (Large4)sqrt (16^5)

Question

CHOOSE A METHOD You are using mental math to evaluate the expression 16^5/4 . Should you evaluate (sqrt [LLarge4](sqrt (16)))^5 or sqrt [Largesqrt [4](16^5) ? (sqrt [Large4](sqrt (16)))^5 sqrt (Large4)sqrt (16^5)

CHOOSE A METHOD You are using mental math to evaluate the expression 16^5/4 . Should you evaluate (sqrt [LLarge4](sqrt (16)))^5 or sqrt [Largesqrt [4](16^5) ? (sqrt [Large4](sqrt (16)))^5 sqrt (Large4)sqrt (16^5)

Solution

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YorickMaster · Tutor for 5 years

Answer

Evaluate $(\sqrt[4]{16})^5$. It simplifies to $2^5 = 32$. The other option requires calculating $16^5$ mentally, which is much more difficult.<br />
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