Respuesta :

carlosego

For this case we have the following expression:

[tex]5x ^ 3 * (2x) ^ 3[/tex]

Rewriting we have:

[tex]5x ^ 3 * (2x * 2x * 2x) =\\5x ^ 3 * 8x ^ 3 =[/tex]

For properties of multiplication of power of the same base we have that:

[tex]a ^ m * a ^ n = a ^ {m + n}[/tex]

So:

[tex]5x ^ 3 *8x ^ 3 = 40x ^ 6[/tex]

Answer:

[tex]40x ^ 6[/tex]

gmany

Answer:

[tex]\large\boxed{(5x^3)(2x)^3=40x^6}[/tex]

Step-by-step explanation:

[tex](5x^3)(2x)^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\(5x^3)(2^3x^3)=(5x^3)(8x^3)\qquad\text{use commutative law}\\\\=(5\cdot8)(x^3x^3)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=40x^{3+3}=40x^6[/tex]

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