Mathematics, 22.05.2020 02:59 ngilliam1444
Which expressions are equivalent to k^{^{\scriptsize -\dfrac{1}{6}}}k − 6 1 k, start superscript, start superscript, minus, start fraction, 1, divided by, 6, end fraction, end superscript, end superscript ? Choose all answers that apply: Choose all answers that apply: (Choice A) A \sqrt[6]{k^{-1}} 6 k −1 root, start index, 6, end index (Choice B, Checked) B \dfrac{1}{k^6} k 6 1 start fraction, 1, divided by, k, start superscript, 6, end superscript, end fraction (Choice C) C \left(k^{-1}\right)^{^{\scriptsize\ dfrac{1}{6}}}(k −1 ) 6 1 left parenthesis, k, start superscript, minus, 1, end superscript, right parenthesis, start superscript, start superscript, start fraction, 1, divided by, 6, end fraction, end superscript, end superscript (Choice D) D
Answers: 2
![A)\sqrt[6]{k^{-1}}\\(B)\dfrac{1}{k^6}\\(C)\left(k^{-1}\right)^{^{\scriptsize\dfrac{1}{6}}}\\](/tpl/images/0660/7902/7c170.png)
![(A)\sqrt[6]{k^{-1}}\\(C)\left(k^{-1}\right)^{{1/6}}](/tpl/images/0660/7902/c55a4.png)
, we apply the following rule of indices to obtain equivalent forms.
Fractional Exponent Rule: ![a^{1/m}=\sqrt[m]{a}](/tpl/images/0660/7902/ba181.png)
![k^{-1/6}=(k^{-1})^{1/6}\\=\sqrt[6]{k^{-1}}](/tpl/images/0660/7902/4243e.png)
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Which expressions are equivalent to k^{^{\scriptsize -\dfrac{1}{6}}}k − 6 1 k, start superscript, s...
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