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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