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what is the value of (128^{\frac{3}{7}})? enter your answer as a whole …

Question

what is the value of (128^{\frac{3}{7}})?

enter your answer as a whole number, like this: 42

Explanation:

Step1: Express the base as a power of 2

$$128 = 2^7$$

Step2: Substitute and apply exponent rules

$$(2^7)^{\frac{3}{7}} = 2^{7 \times \frac{3}{7}}$$

Step3: Simplify the exponent

$$2^3 = 8$$

Answer:

8