Question

is the simplest form of: 9 sqrt of (-27x^9) is x of 9sqrt of-27

Answer 1

like in this picture:

Answer 2

NO

Answer 3

you could do more

Answer 4

put in this form (-27)^(1/9)

Answer 5

(-3^3)^(1/9)
(-3)^(3/9)
(-3)^(1/3)

Answer 6

x 3srq(-3)

Answer 7

how? @AJ01 like this?

Answer 8

\[\large \sf\sqrt[9]{-27x^9} \iff (-27x^9)^{1/9}\]

Answer 9

So just distribute the \(\sf 1/9\) power.

Answer 10

\[\sf \large (-27)^{1/9} \cdot (x^9)^{1/9}\]\[=\sf [(-3)^3]^{1/9} \cdot x^{9 \cdot 1/9}\]

Answer 11

\[\sqrt[9]{-27}\]
\[\sqrt[9]{-3^{3}}\]
\[\sqrt[\frac{ 9}{ 3}]{-3}\]
\[\sqrt[3]{-3}\]

Answer 12

Following my method: \[\sf [(-3)^3]^{1/9} \cdot x^{9 \cdot 1/9}\]\[\sf =(-3)^{3 \cdot 1/9} \cdot x^1\]\[=(-3)^3 \cdot x\]

Answer 13

Just simplify that.