Question

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

can some body help please on this Algerbra my techer is not responding bsck to me

Answer 1

`-8x^(10)`

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 * 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)`