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

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

Solution

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 $3 \cdot 3 \cdot 0 = 9$.

The simplified expression is $8 y^{9}$.

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