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

Question

Insert the corresponding expression:

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

Video Solution

Solution Steps

00:00 Simply
00:02 We'll use the formula for dividing powers
00:04 Any number (A) to the power of (N) divided by the same base (A) to the power of (M)
00:06 equals number (A) to the power of the difference of exponents (M-N)
00:08 We'll use this formula in our exercise
00:10 And this is the solution to the question

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=am−n \frac{a^m}{a^n} = a^{m-n} .

Applying this rule to our expression:

y20y11=y20−11 \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

y20−11 y^{20-11}

More Questions

Related Subjects

Division of Exponents with the Same Base

Question Types

Power of a Quotient Rule for Exponents: System of equations with no solution Power of a Quotient Rule for Exponents: Variable in the base of the power