Simplify. Express your answer using a single exponent.

Ask by Tyler Gordon. in the United States

Jan 16,2025

Question

Simplify. Express your answer using a single exponent. $$ \left(y^{4}\right)^{-9} $$

UpStudy AI · Accepted Answer

To simplify the expression $$ \left(y^{4}\right)^{-9} $$ and express it using a single exponent, follow these steps:

1. **Apply the Power of a Power Property:**
   
   The property $$ (a^{m})^{n} = a^{m \times n} $$ allows you to multiply the exponents.

$$
   \left(y^{4}\right)^{-9} = y^{4 \times (-9)} = y^{-36}
   $$

2. **Final Simplified Form:**
   
   $$
   y^{-36}
   $$

So, the simplified expression using a single exponent is:

$$
y^{-36}
$$
$$ y^{-36} $$

Simplify. Express your answer using a single exponent.