Question
\( 1 \leftarrow \quad \) Simplify the exponential expression. \( \left(5 y^{6}\right)^{2} \) \( \left(5 y^{6}\right)^{2}=\square \)
Ask by French Logan. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \left(5 y^{6}\right)^{2} = 25 y^{12} \)
Solution
Simplifying the exponential expression:
\[
\left(5 y^{6}\right)^{2} = 25 y^{12}
\]
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Simplify this solution Bonus Knowledge
To simplify the expression \( \left(5 y^{6}\right)^{2} \), you apply the power of a product rule, which states that when you raise a product to a power, you raise each factor to that power. So, we have: \[ \left(5 y^{6}\right)^{2} = 5^{2} \cdot (y^{6})^{2} = 25 \cdot y^{12} \] Therefore, the simplified form is: \[ \left(5 y^{6}\right)^{2} = 25 y^{12} \]
