Answer: Option 3. [tex]\sqrt[c]{a^b}[/tex] Option 4. [tex](\sqrt[c]{a} )^b[/tex]
Step-by-step explanation:
concept to know: when the exponent is a fraction, the numerator will be the real exponent with the base (i.e 7^5), while the denominator will be the root
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[tex]a^{\frac{b}{c}[/tex]
b is the numerator which means it will result in [tex]a^b[/tex]
c is the denominator which means it will result in [tex]\sqrt[c]{a}[/tex]
The combination of this two will be [tex]\sqrt[c]{a^b}[/tex]
This will also be presented as [tex](\sqrt[c]{a} )^b[/tex]
Hope this helps!! :)
Please let me know if you have any question
