Simplify y^20 ÷ y^11: Laws of Exponents Practice

Question

Insert the corresponding expression:

y20y11= \frac{y^{20^{}}}{y^{11}}=

Video Solution

Step-by-Step Solution

We are given the expression: y20y11 \frac{y^{20}}{y^{11}}

To solve this, we will use the rule for exponents known as the Power of a Quotient Rule, which states that when you divide two expressions with the same base, you can subtract the exponents: aman=amn \frac{a^m}{a^n} = a^{m-n} .

Applying this rule to our expression:

y20y11=y2011 \frac{y^{20}}{y^{11}} = y^{20-11}

After simplifying, we have:

y9 y^{9}

The solution to the question is: y9 y^{9}

Answer

y2011 y^{20-11}