What is $2 x^{4} \cdot 3 x^{3}$ $2x^4 * 3x^3$ ?

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Answer 1 · 2018-05-29T12:54:17

See a solution process below:

First, rewrite the expression as:

$2 \cdot x^{4} \cdot 3 \cdot x^{3} \Rightarrow$ $2 * x^4 * 3 * x^3 =>$

$2 \cdot 3 \cdot x^{4} \cdot x^{3} \Rightarrow$ $2 * 3 * x^4 * x^3 =>$

$(2 \cdot 3) \cdot (x^{4} \cdot x^{3}) \Rightarrow$ $(2 * 3) * (x^4 * x^3) =>$

$6 \cdot (x^{4} \cdot x^{3})$ $6 * (x^4 * x^3)$

Now, use this rule for exponents to multiply the $x$ $x$ terms:

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

$6 \cdot (x^{4} \times x^{3}) \Rightarrow$ $6 * (x^color(red)(4) xx x^color(blue)(3)) =>$

$6 \cdot x^{4 + 3} \Rightarrow$ $6 * x^(color(red)(4) + color(blue)(3)) =>$

$6 \cdot x^{7} \Rightarrow$ $6 * x^7 =>$

$6 x^{7}$ $6x^7$

What is 2x4⋅3x32x^4 * 3x^3?