Simplify the given expression. $$ k^{8}\left(k^{9}\right)^{9}= $$ Question Help: $$ \square $$ Message instructor Submit Question

Question

UpStudy AI · Accepted Answer

To simplify the expression $$ k^{8}\left(k^{9}\right)^{9} $$, follow these steps:

1. **Simplify the Exponentiation:**

Apply the power of a power rule, which states $$(a^m)^n = a^{m \times n}$$.

$$
   \left(k^{9}\right)^{9} = k^{9 \times 9} = k^{81}
   $$

2. **Multiply the Terms with the Same Base:**

When multiplying terms with the same base, add their exponents.

$$
   k^{8} \times k^{81} = k^{8 + 81} = k^{89}
   $$

**Final Simplified Expression:**

$$
k^{89}
$$
$$ k^{89} $$

Simplify the given expression. \( k^{8}\left(k^{9}\right)^{9}= \) Question Help: \( \square \) Message instructor Submit Question