Questions: Simplify the following expression completely: (2y^3)^3

Simplify the following expression completely: (2y^3)^3
Transcript text: Simplify the following expression completely: $\left(2 y^{3}\right)^{3}$
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Solution

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Solution Steps

Step 1: Simplify the Coefficients

Calculate \(\frac{a^n}{b^q}\) where \(a = 2\), \(n = 3\), \(b = 1\), and \(q = 0\). This gives \(\frac{2^3}{1^0} = 8\).

Step 2: Simplify the Exponents

Calculate \(m \cdot n - p \cdot q\) where \(m = 3\), \(n = 3\), \(p = 0\), and \(q = 0\). This gives \(3 \cdot 3 \cdot 0 = 9\).

Final Answer:

The simplified expression is \(8 y^{9}\).

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