Question

Radical 9 cubed times radical -24 cubed=?

Answer 1

`\sqrt[3]{9}\text{ }\cdot\sqrt[3]{-24}\text{ =}\sqrt[3]{(9)\cdot(-24)}=\sqrt[3]{-216}`
`\sqrt[3]{-216}\text{ = }\sqrt[3]{(-6)^3}`

we can easily calculate that -6 times -6 times- 6 =- 216 it is why we can do this equality

because we have an exponent 3 and a cubic root we can cancel both so the answer of

`\sqrt[3]{9}\text{ }\cdot\sqrt[3]{-24}=\text{ -6}`