Simplify the Following expressions into Simplest exponential form $$ p^{2} q imes p^{4} q $$.

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Simplify the Following expressions into Simplest exponential form $$ p^{2} q 	imes p^{4} q $$.

UpStudy AI · Accepted Answer

To simplify the expression $$ p^{2} q \times p^{4} q $$ into its simplest exponential form, follow these steps:

1. **Combine the like terms (variables with the same base):**
   
   - For the variable $$ p $$:
     $$
     p^{2} \times p^{4} = p^{2 + 4} = p^{6}
     $$
   
   - For the variable $$ q $$:
     $$
     q \times q = q^{1 + 1} = q^{2}
     $$

2. **Combine the results:**
   $$
   p^{6} \times q^{2} = p^{6} q^{2}
   $$

So, the expression simplified into its simplest exponential form is:

$$
p^{6} q^{2}
$$

**Answer:** $$ p^{6}\, q^{2} $$
$$ p^{6} q^{2} $$

Simplify the Following expressions into Simplest exponential form \( p^{2} q \times p^{4} q \).

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