To simplify the expression [tex]\(\frac{16 w^7}{2 w}\)[/tex], let's break it down step-by-step:
1. Simplify the numerical part:
- The expression has a numerical part [tex]\(\frac{16}{2}\)[/tex].
- Dividing 16 by 2 gives us 8.
2. Simplify the variable with the exponent:
- The expression [tex]\(w^7\)[/tex] in the numerator and [tex]\(w\)[/tex] in the denominator can be simplified using the properties of exponents.
- Remember that when you divide like bases, you subtract the exponents: [tex]\(\frac{w^7}{w}\)[/tex].
- This can be simplified as [tex]\(w^{7-1}\)[/tex], which is [tex]\(w^6\)[/tex].
Putting these results together, we get:
[tex]\[
\frac{16 w^7}{2 w} = 8 w^6
\][/tex]
Thus, the simplified form of the expression is [tex]\(8 w^6\)[/tex].
