Question

Use the properties of exponents to simplify. Express all answers using positive exponents.each)35x10 over 5x^5

Answer 1

Consider the given expression,

$\frac{35x^{10}}{5x^5}$

Consider the property,

$\frac{x^m}{x^n}=x^{m-n}$

Then the given expression can be simplified as follows,

$\begin{gathered} \frac{35x^{10}}{5x^5} \\ =\frac{35}{5}\times\frac{x^{10}}{x^5} \\ =7\times x^{10-5} \\ =7\times x^5 \\ =7x^5 \end{gathered}$

Thus, the given expression is simplified as,

$\frac{35x^{10}}{5x^5}=7x^5$