The expression is given to be:
[tex](xy^7)^3\div y^{14}[/tex]
STEP 1: Applying the exponent rule of brackets:
[tex](x^m)^n=x^{m\times n}[/tex]
Therefore, the expression becomes:
[tex]\begin{gathered} \Rightarrow x^3\cdot y^{7\times3}\div y^{14} \\ \Rightarrow x^3\cdot y^{21}\div y^{14} \end{gathered}[/tex]
STEP 2: Applying the division rule of brackets:
[tex]x^m\div x^n=x^{m-n}[/tex]
Therefore, the expression becomes:
[tex]\begin{gathered} \Rightarrow x^3\cdot y^{21-14} \\ \Rightarrow x^3\cdot y^7 \end{gathered}[/tex]
ANSWER:
The simplified expression becomes:
[tex]\Rightarrow x^3y^7[/tex]
