Question

Please Help

cube root√(a+b)^-7 * (a+b)^1/3


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Answer 1

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Answer 2

`\sf\huge\underline\red{SOLUTION:}`

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

• 
  `\rightarrow\sf {(a + b)}^( - 2)`

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  `\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^(2) } }}}`

`\sf\huge\underline\red{ANSWER:}`

• 
  `\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^(2) } }}}`

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