whats is an equivalent expression to the picture below.
whats is an equivalent expression to the picture below.
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)