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Question

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ganeshie8 · Answer

$\huge \frac{1}{\sqrt[3]{x^{-6}}}$

ganeshie8 · Answer

@Nurialozza96

anonymous · Answer

here(:

ganeshie8 · Answer

first exponent property we will be using :-

$\huge \color{Red}{\sqrt[n]{a^{m}} = a^{\frac{m}{n}}} $

ganeshie8 · Answer

lets apply it for the bottom expression and see wat we get

anonymous · Answer

ok let me do it on paper and see

ganeshie8 · Answer

$\huge \frac{1}{\sqrt[3]{x^{-6}}} $

$\huge \frac{1}{x^{\frac{-6}{3}}} $

anonymous · Answer

and from there?

ganeshie8 · Answer

$\huge \frac{1}{\sqrt[3]{x^{-6}}} $

$\huge \frac{1}{x^{\frac{-6}{3}}} $

$\huge \frac{1}{x^{\frac{-\cancel{6}{2}}{\cancel{3}}}} $

ganeshie8 · Answer

$\huge \frac{1}{\sqrt[3]{x^{-6}}} $

$\huge \frac{1}{x^{\frac{-6}{3}}} $

$\huge \frac{1}{x^{\frac{-\cancel{6}{2}}{\cancel{3}}}} $

$\huge \frac{1}{x^{-2}} $

ganeshie8 · Answer

you're okay wid those four lines right ? :)

ganeshie8 · Answer

3 goes in 6, 2 times... thats all i did

anonymous · Answer

yes, the problem is they ask me to justify each step

ganeshie8 · Answer

we have justified second step using the exponent property

anonymous · Answer

ok in the first step is those 4 correct?

ganeshie8 · Answer

$\huge \frac{1}{\sqrt[3]{x^{-6}}} $

$\huge \frac{1}{x^{\frac{-6}{3}}} $   cuz, $\huge \color{Red}{\sqrt[n]{a^{m}} = a^{\frac{m}{n}}} $

$\huge \frac{1}{x^{\frac{-\cancel{6}{2}}{\cancel{3}}}} $

$\huge \frac{1}{x^{-2}} $

ganeshie8 · Answer

there, the justfication goes

anonymous · Answer

so that would be the final answer? this last one you posted?

ganeshie8 · Answer

second exponent property we use is below  :-
$\huge \color{Red}{\frac{1}{a^{-m}} = a^{m} }$

ganeshie8 · Answer

$\huge \frac{1}{\sqrt[3]{x^{-6}}} $

$\huge \frac{1}{x^{\frac{-6}{3}}} $   cuz, $\huge \color{Red}{\sqrt[n]{a^{m}} = a^{\frac{m}{n}}} $

$\huge \frac{1}{x^{\frac{-\cancel{6}{2}}{\cancel{3}}}} $

$\huge \frac{1}{x^{-2} }$

$\huge x^2 $   cuz, $\huge \color{Red}{\frac{1}{a^{-m}}} = a^{m} $

ganeshie8 · Answer

we're done

final answer after simplification is x^2

anonymous · Answer

so that would be the final answer? im going to study and copare it to my others ones to make sure i got them right .

anonymous · Answer

what does "^" mean ?

ganeshie8 · Answer

^ means, exponent

anonymous · Answer

ohhh ok ok thankyou ! (:

ganeshie8 · Answer

np :)