Question

Can u help solve these questions please

Answer 1

Explanation:

`\sqrt[4]{(16a^4)^5}=(16a^4)^{(5)/(4)}` [Since,
`\sqrt[n]{x}=x^{(1)/(n)}`]

`=(16)^{(5)/(4)}(a^4)^{(5)/(4)}`

`=(2^4)^{(5)/(4)}(a^4)^{(5)/(4) }`

`=(2^{4* (5)/(4)})(a^{4* (5)/(4)})`

`=2^5a^5`

`\sqrt[5]{(b^{(1)/(4)})^6}=\sqrt[5]{b^{(6)/(4)}}`

`=\sqrt[5]{b^{(3)/(2)}}`

`=(b^{(3)/(2)})^{(1)/(5) }`

`=b^{(3)/(10)}`

`\sqrt[3]{(c^(15))/(c^9)}=\sqrt[3]{c^(15-9)}`

`=(c^6)^{(1)/(3)}`

`=c^{6* (1)/(3) }`

= c²

`\sqrt[4]{16d^6* 16d^(-5)}=\sqrt[4]{(2)^4(d^(6-5))(2)^4}`

`=\sqrt[4]{2^((4+4))d}`

`=\sqrt[4]{(2^8)d}`

`=2^{(8)/(4)}d^{(1)/(4)}`

`=2^2d^{(1)/(4)}`

`=4d^{(1)/(4)}`