Question

Hi i need help asap

A=
B=

Answer 1

`8\sqrt[3]{2}`

Therefore, a = 8 and b = 2

Step-by-step explanation:

Substitute
`x=-2` into the expression:

`\implies \sqrt[3]{(-2)^(10)}`

Apply exponent rule
`(-a)^n=a^n` if n is even:

`\implies \sqrt[3]{2^(10)}`

Apply exponent rule
`a^(b+c)=a^b \cdot a^c`

`\implies \sqrt[3]{2^9\cdot2^1}`

Apply radical rule
`\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}`

`\implies \sqrt[3]{2^9}\sqrt[3]{2}`

Apply radical rule
`\sqrt[n]{a^m} =a^{(m)/(n)}`

`\implies 2^{(9)/(3)}\sqrt[3]{2}`

Simplify:

`\implies 2^3\sqrt[3]{2}`

`\implies 8\sqrt[3]{2}`

Therefore, a = 8 and b = 2

Answer 2

`\rightarrow \sf 8\sqrt[3]{2}`

Step-by-step explanation:

`\rightarrow \sf \sqrt[3]{x^(10)}`

insert -2 as x

`\rightarrow \sf \sqrt[3]{(-2)^(10)}`

simplify

`\rightarrow \sf \sqrt[3]{1024}}`

breakdown

`\rightarrow \sf \sqrt[3]{2 * 8^3}}`

final answer

`\rightarrow \sf 8\sqrt[3]{2}`

→ This a = 8 and b = 2