The area of a rectangle is 54x^9 y^8 square yards. if the length of the rectangle is 6x^3 y^4 which expression represents the width of the rectangle in yards?

jack knows a=l*w, so he writes the following equation:
54x^9 y^8= 6x^3 y^4*w
he divides both sides by the length:
(54x^9 y^8)/(6x^3 y^4 )=9 x^12 y^12

error:

correct solution:

➷ Error: When he divided both sides by the length, he didn't subtract the exponents. Instead on subtracting the exponents, he added them - which is incorrect.

Correct solution: 54x^9 y^8 / 6x^3 y^4 = 9x^6 y^4

The width is 9x^6 y^4

(This is based on the rule that when you divide values with exponents, you have to subtract the exponents)

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Error: He added the exponents of the variables. The exponents must be subtracted.

Correct solution:

Step-by-step explanation:

According the quotient property of exponents, when you divide two powers with equal base, you must subtract the exponents.

Therefore, keeping the property above on mind, you have:

Therefore, you have that the width of the rectangle is the shown below:

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

a

step-by-step explanation: