Question

Help me please thank you

Answer 1

`\tt {1)\:a^(-b)}=\boxed{\tt \cfrac{1}{a^b}}`

`\tt 2)\: \cfrac{a^b}{a^c}=\boxed{\tt a^(b-c)}`

`\tt \tt 3)\:\cfrac{a^c}{b^c}=\boxed{\tt \left(\cfrac{a}{b}\right)^c}`

Explanation:

`\tt {1)\:a^(-b)}`

Apply the exponent:-

`\boxed{\tt a^(-b)=(1)/(a^b)}`

• 
  `\tt \cfrac{1}{a^b}`

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`\tt 2)\: \cfrac{a^b}{a^c}`

Apply the exponent:-

`\boxed{\tt \cfrac{x^a}{x^b}=x^(a-b)}`

• 
  `\tt a^(b-c)`

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`\tt 3)\:\cfrac{a^c}{b^c}`

Apply the exponent:-

`\boxed{\tt (x^a)/(x^b)\:=\:x^(a-b)}`

`\tt \left(\cfrac{a}{b}\right)^c`

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Hope this helps! :)