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cube root√(a+b)^-7 * (a+b)^1/3


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MathDemonQueenidn

[tex]\sf\huge\underline\red{SOLUTION:}[/tex]

  • [tex]\sf\rightarrow \sqrt[3]{ {(a + b)}^{ - 7} } \times {(a + b)}^{ \frac{1}{3} } [/tex]
  • [tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 7}{3} } {(a + b)}^{ \frac{1}{ 3 } } [/tex]
  • [tex] \\ \rightarrow\sf {(a + b)}^{ - \frac{7}{3} } {(a + b)}^{ \frac{1}{3} } [/tex]
  • [tex] \\ \rightarrow\sf {(a + b)}^{ - \frac{7}{3} + \frac{1}{3} } [/tex]
  • [tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 7 + 1}{3} } [/tex]
  • [tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 6}{3} } [/tex]
  • [tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 - 2}{3} } [/tex]
  • [tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 \times - 2}{3(1)} } [/tex]
  • [tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 \times - 2}{3 \times 1} } [/tex]
  • [tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 2}{1} } [/tex]

  • [tex]\rightarrow\sf {(a + b)}^{ - 2} [/tex]

  • [tex]\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^{2} } }}}[/tex]

[tex]\sf\huge\underline\red{ANSWER:}[/tex]

  • [tex]\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^{2} } }}}[/tex]

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Answer:

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