which expression is equivalent to $(5x^{3})(4x)^{3}$?\n$20x^{6}$\n$320x^{6}$\n$500x^{6}$\n$8,000x^{6}$
which expression is equivalent to $(5x^{3})(4x)^{3}$?\n$20x^{6}$\n$320x^{6}$\n$500x^{6}$\n$8,000x^{6}$
Answer
Explanation:
Step1: Expand $(4x)^3$
Usando la regla $(ab)^n=a^n b^n$, tenemos $(4x)^3 = 4^3x^3=64x^3$.
Step2: Multiplicar $(5x^3)$ por $(4x)^3$
Multiplicamos los coeficientes y sumamos los exponentes de $x$ usando la regla $a^m\times a^n=a^{m + n}$. Entonces $(5x^3)\times(64x^3)=(5\times64)x^{3 + 3}=320x^6$.
Answer:
$320x^6$