How do you simplify $x^{3} \cdot 2 x^{5}$ $x^3 * 2x^5$ ?

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Answer 1 · 2018-03-06T17:33:09

See a solution process below:

First, rewrite the expression as:

$2 (x^{3} \cdot x^{5})$ $2(x^3 * x^5)$

Then use this rule for exponents to complete the simplification:

$x^{a} \times x^{b} = x^{a + b}$ $x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))$

$2 (x^{3} \times x^{5}) \Rightarrow$ $2(x^color(red)(3) xx x^color(blue)(5)) =>$

$2 x^{3 + 5} \Rightarrow$ $2x^(color(red)(3) + color(blue)(5)) =>$

$2 x^{8}$ $2x^8$

How do you simplify x3⋅2x5x^3 * 2x^5?