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Simply the expression below. Explain which rules of exponents you used to simplify the expression.

Simply The Expression Below Explain Which Rules Of Exponents You Used To Simplify The Expression class=

Sagot :

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]

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