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Use the Rules of Exponents to Simplify the Expression 3k1/8(4k3/8+6k3/4)3 \mathrm{k}^{1 / 8}\left(-4 \mathrm{k}^{3 / 8}+6 \mathrm{k}^{3 / 4}\right)

Question 40

Multiple Choice

Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.
- 3k1/8(4k3/8+6k3/4) 3 \mathrm{k}^{1 / 8}\left(-4 \mathrm{k}^{3 / 8}+6 \mathrm{k}^{3 / 4}\right)


A) 12k3/64+18k3/32-12 k^{3 / 64}+18 k^{3 / 32}

B) 12k1/418k5/8-12 \mathrm{k}^{-1 / 4}-18 \mathrm{k}^{-5 / 8}

C) 12k1/2+18k7/8-12 \mathrm{k}^{1 / 2}+18 \mathrm{k}^{7 / 8}

D) 12k1/218k7/8-12 \mathrm{k}^{1 / 2}-18 \mathrm{k}^{7 / 8}

Correct Answer:

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