Answer :
To find the cube root of
[tex]$$8 x^{27},$$[/tex]
we can break the expression into two parts and simplify them separately.
1. First, consider the constant:
[tex]$$\sqrt[3]{8} = 2,$$[/tex]
since [tex]$2^3 = 8.$[/tex]
2. Next, consider the variable part:
[tex]$$\sqrt[3]{x^{27}} = x^{27/3} = x^9.$$[/tex]
3. Combining these results, we have:
[tex]$$\sqrt[3]{8 x^{27}} = 2 x^9.$$[/tex]
Thus, the cube root of [tex]$8 x^{27}$[/tex] is [tex]$\boxed{2 x^9}$[/tex].
[tex]$$8 x^{27},$$[/tex]
we can break the expression into two parts and simplify them separately.
1. First, consider the constant:
[tex]$$\sqrt[3]{8} = 2,$$[/tex]
since [tex]$2^3 = 8.$[/tex]
2. Next, consider the variable part:
[tex]$$\sqrt[3]{x^{27}} = x^{27/3} = x^9.$$[/tex]
3. Combining these results, we have:
[tex]$$\sqrt[3]{8 x^{27}} = 2 x^9.$$[/tex]
Thus, the cube root of [tex]$8 x^{27}$[/tex] is [tex]$\boxed{2 x^9}$[/tex].
