Question

Which expression is equivalent to75a7b"40213,9 ? Assume a=1 and C=0.

Answer 1

we have the expression

`\sqrt[3]{(75a^7b^4)/(40a^((13))c^9)}`

Remember that

`(75)/(40)=(15)/(8)=(15)/(2^3)`
`(a^7)/(a^((13)))=(1)/(a^6)`

substitute

`\sqrt[3]{(75a^7b^4)/(40a^((13))c^9)}=\sqrt[3]{(15b^4)/(2^3a^6c^9)}`

we have that

`2^3a^6c^9=(2a^2c^3)^3`

substitute

`\sqrt[3]{(15b^4)/(2^3a^6c^9)}=\frac{\sqrt[3]{15b^4}}{(2a^2c^3)}=b\frac{\sqrt[3]{15b^{}}}{(2a^2c^3)}`

answer is the second option