Question

What is the simplest form of RootIndex 3 StartRoot 27 a cubed b Superscript 7 Baseline EndRoot? 3 a b squared (RootIndex 3 StartRoot b EndRoot) 3 a b cubed (RootIndex 3 StartRoot 3 a b EndRoot) 9 a b squared (RootIndex 3 StartRoot b EndRoot) 9 a b cubed (RootIndex 3 StartRoot 3 a b EndRoot)

Answer 1

its a yw

Explanation:

Answer 2

(A)
`3ab^(2)\sqrt[3]{b}`

3 a b squared (RootIndex 3 StartRoot b EndRoot)

Explanation:

We want to simplify the expression:
`\sqrt[3]{27a^3b^7}`

`\sqrt[3]{27a^3b^7}=\sqrt[3]{27} X \sqrt[3]{a^3} X \sqrt[3]{b^7}\\=3XaXb^(7/3)\\=3XaXb^(6/3+1/3)\\=3XaXb^(2+1/3)\\=3XaXb^(2)Xb^(1/3)\\=3ab^(2)\sqrt[3]{b}`

The correct option is A