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The value of $(256)^{0.16} \times (256)^{0.09}$ is:

Competition practiceNumber & Arithmetic

A2
B8
C16
D4

Step-by-Step Solution

Same base, so add the exponents: 0.16 + 0.09 = 0.25. Then

25 6^{0.25} = 25 6^{1/4} = (4^{4})^{1/4} = 4

.

Answer: D) 4

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