Question

Rewrite the expression using the properties of exponents.


`(x {}^{ (1)/(3) } * x {}^{ (1)/(9) }) {}^(6) / x {}^{ (1)/(3) }`
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Answer 1

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

Explanation:

The relevant properties of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)^c = a^(bc)

1/a^b = a^-b

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Your expression simplifies to ...

`\displaystyle x^{(6)/(3)+(6)/(9)-(1)/(3)}=x^{(7)/(3)}\\\\=x^2\sqrt[3]{x}`