To simplify the given expression \( a^5 \cdot 3b^9 \cdot 6a \):
1. First, rearrange and group the coefficients and like terms:
\[ 3 \cdot 6 \cdot a^5 \cdot a \cdot b^9 \]
2. Multiply the coefficients:
\[ 3 \cdot 6 = 18 \]
3. Combine the a terms using the rule \( a^m \cdot a^n = a^{m+n} \):
\[ a^5 \cdot a = a^{5+1} = a^6 \]
4. The b term remains as is because there is no other \( b \) term to combine:
\[ b^9 \]
So the simplified expression is:
\[ 18a^6b^9 \]
Thus, the correct answer is:
\[ 18a^6b^9 \]
5.
Simplify the expression.
a5 ∙ 3b9 ∙ 6a
18a6b9
10a6b9
18ab15
18a45b9
1 answer
1 answer