whats is an equivalent expression to the picture below.

Whats Is An Equivalent Expression To The Picture Below class=

Sagot :

We have:

[tex]4*\sqrt[3]{81}[/tex]

and we know that [tex]81=3^4[/tex], don't we?

therefore Let's replace it.

[tex]4*\sqrt[3]{3^4}[/tex]

and we can write this value like this [tex]3^4=3^3*3^1[/tex]

them, let's replace

[tex]4*\sqrt[3]{3^3*3^1}[/tex]

we can take out [tex]3^3[/tex], them we obtain

[tex]4*3*\sqrt[3]{3^1}[/tex]

[tex]\boxed{\boxed{4*\sqrt[3]{81}\equiv12*\sqrt[3]{3}}}[/tex]
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)