How do you simplify $3 x^{12} \cdot 2 x^{3}$ $3x^12*2x^3$ ?

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Answer 1 · 2015-09-23T16:29:40

$= 6 x^{15}$ $=color(blue)(6x^15$

$3 x^{12} \cdot 2 x^{3}$ $3x^12 * 2x^3$

$= x^{12} \cdot x^{3} \cdot 3 \cdot 2$ $=color(blue)(x^12 * x^3) * 3 *2$

By property
$a^{m} \cdot a^{n} = a^{m + n}$ $color(blue)(a^m * a^n = a^(m+n)$

Applying the same to the exponents of $x$ $x$

( $x^{12} \cdot x^{3} = x^{12 + 3} = x^{15}$ $color(blue)(x^12 * x^3 = x^(12+3) = x^15$ )

$= x^{15} \cdot 3 \cdot 2$ $=color(blue)(x^15) * 3 *2$

$= x^{15} \cdot 6$ $=color(blue)(x^15) * 6$

$= 6 x^{15}$ $=color(blue)(6x^15$

How do you simplify 3x12⋅2x33x^12*2x^3?