Question

(2x^2)^3(-x^4) can some body help please on this Algerbra my techer is not responding bsck to me

Answer 1

Answer:

$-8x^{10}$

Step-by-step explanation:

$(2x^2)^3(-x^4)$

Apply the rule $(-a)=-(a)$:

$\implies -(2x^2)^3(x^4)$

Apply the exponent rule $(a \cdot b)^c=a^cb^c$ :

$\implies-(2^3\cdot x^{2 \times 3})x^4$

$\implies -8 \cdot x^6 \cdot x^4$

Apply exponent rule $a^b \cdot a^c=a^{b+c}$

$\implies -8x^{6+4}$

$\implies -8x^{10}$