What is the following expression equivalent to?

Ask by Li Blake. in the United States

Jan 26,2025

Question

What is the following expression equivalent to? $$ \left(b^{3}\right)^{4} b^{5} $$ $$ b^{23} $$ $$ b^{12} $$ $$ b^{60} $$ $$ b^{17} $$

UpStudy AI · Accepted Answer

To simplify the expression $$ \left(b^{3}\right)^{4} b^{5} $$, follow these steps:

1. **Apply the Power of a Power Rule**: 
   $$
   \left(b^{3}\right)^{4} = b^{3 \times 4} = b^{12}
   $$

2. **Multiply the Result by $$ b^{5} $$**:
   $$
   b^{12} \times b^{5} = b^{12 + 5} = b^{17}
   $$

So, the expression $$ \left(b^{3}\right)^{4} b^{5} $$ is equivalent to $$ b^{17} $$.

**Answer:** $$ b^{17} $$
The expression $$ \left(b^{3}\right)^{4} b^{5} $$ simplifies to $$ b^{17} $$.

What is the following expression equivalent to?