Question

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

Answer 1

The expression is given to be:

`(xy^7)^3/ y^(14)`

STEP 1: Applying the exponent rule of brackets:

`(x^m)^n=x^(m* n)`

Therefore, the expression becomes:

`\begin{gathered} \Rightarrow x^3\cdot y^(7*3)/ y^(14) \\ \Rightarrow x^3\cdot y^(21)/ y^(14) \end{gathered}`

STEP 2: Applying the division rule of brackets:

`x^m/ x^n=x^(m-n)`

Therefore, the expression becomes:

`\begin{gathered} \Rightarrow x^3\cdot y^(21-14) \\ \Rightarrow x^3\cdot y^7 \end{gathered}`

ANSWER:

The simplified expression becomes:

`\Rightarrow x^3y^7`