How do you simplify $k (k^{3})$ $k(k^3)$ ?

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Answer 1 · 2017-01-23T15:07:12

See the entire simplification process below:

We will use these two rules of exponents to simplify this expression:

$a = a^{1}$ $a = a^color(red)(1)$

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

We can rewrite this expression as:

$k \times k^{3} \to k^{1} \times k^{3} \to k^{1 + 3} \to k^{4}$ $k xx k^3 -> k^1 xx k^3 -> k^(1 + 3) -> k^4$

How do you simplify k(k^3)k(k3)k(k^3)?