Answer:
The solution, a=15, b=7 and c=4
Step-by-step explanation:
Given: [tex]\sqrt[4]{15^7}[/tex]
using exponent and surds rule to change exponent to radical form or radical to exponent form.
Rule: [tex]\sqrt[n]{a^m}=a^{\frac{m}{n}}[/tex]
Now we compare the given expression
[tex]\sqrt[n]{a^m}=\sqrt[4]{15^7}[/tex]
[tex]\Rightarrow 15^{\frac{7}{4}}[/tex]
It is equal to [tex]a^{\frac{b}{c}}[/tex]
Compare both solution
[tex]a^{\frac{b}{c}}=15^{\frac{7}{4}}[/tex]
[tex]a\rightarrow 15[/tex]
[tex]b\rightarrow 7[/tex]
[tex]c\rightarrow 4[/tex]
Hence, The solution a=15, b=7 and c=4
