Answer:
[tex](x^{9}y^\frac{1}{3})[/tex]
or
[tex](x^{9}\sqrt[3]{y})[/tex]
Step-by-step explanation:
Given in the question an expression
[tex](x^{27}y )^\frac{1}{3}[/tex]
We will apply the power rule
The "power rule" tells us that to raise a power to a power, just multiply the exponents.
[tex](x^{27*\frac{1}{3} }y^\frac{1}{3})[/tex]
[tex](x^{9}y^\frac{1}{3})[/tex]
As we know that
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
so we can write the above expression as
[tex](x^{9}\sqrt[3]{y})[/tex]
Answer:
3∛(xy)
Step-by-step explanation:
(x27y)^1/3
Simplified form will be 3/x³y³
Because;
27^(1/3) = 3
x^(1/3) = ∛x
y^(1/3) = ∛y
Which gives us 3∛(xy)
