Whats is an equivalent expression $$4*\sqrt[3]{81}$$

We have:

$$4*\sqrt[3]{81}$$

and we know that $$81=3^4$$, don’t we?

therefore Let’s replace it.

$$4*\sqrt[3]{3^4}$$

and we can write this value like this $$3^4=3^3*3^1$$

them, let’s replace

$$4*\sqrt[3]{3^3*3^1}$$

we can take out $$3^3$$, them we obtain

$$4*3*\sqrt[3]{3^1}$$

$$\boxed{\boxed{4*\sqrt[3]{81}\equiv12*\sqrt[3]{3}}}$$

We have 4 x ∛81

now, we simplify ∛81.

we know that 81 = 9 x 9

9 = 3 x 3.

Thus, ∛81 becomes ;

∛3 x 3 x 3 x 3

= ∛3  x   3   x  4

= 12 x ∛3 ( ; is equivalent to 4  x  ∛81)

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