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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: Simplify the expression by using two variables

Grade: 9-a Lesson: S1-L1

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Simplify the expression: \$ (-2x^3 \times 3y^3)(2x^4 \times 9y^2) \$
2	Step	Multipling the exponents of same variables	\$ (-6x^3y^3)(18x^4y^2) \$
3	Formula:	By using the formula	\$a^m \times a^n = a^(m+n)\$
4	Step	Separate all the variables and numbers	\$ (-6 × 18 ) (x^3y^3 × x^4y^2 )\$
5	Formula:	By using the formula	\$a^m \times a^n = a^(m+n)\$
6	Step	After simplification we get	\$ -108 x^(3+4)y^(3+2)\$
7	Step	After simplification we get	\$ -108 x^7y^5\$
8		Answer	A

Step

Type

Explanation

Answer

Problem

Simplify the expression:
\$ (-2x^3 \times 3y^3)(2x^4 \times 9y^2) \$

Step

Multipling the exponents of same variables

\$ (-6x^3y^3)(18x^4y^2) \$

Formula:

By using the formula

\$a^m \times a^n = a^(m+n)\$

Step

Separate all the variables and numbers

\$ (-6 × 18 ) (x^3y^3 × x^4y^2 )\$

Formula:

By using the formula

\$a^m \times a^n = a^(m+n)\$

Step

After simplification we get

\$ -108 x^(3+4)y^(3+2)\$

Step

After simplification we get

\$ -108 x^7y^5\$

Answer

Tutor: Questions

Seq	Type	Question
1	Problem	What did you learn from this problem?
2	Clue	What did you learn from the clues?
3	Hint	What did you learn from the Hints?
4	Step	What did you learn from the Steps?
5	Step	How can we improve the Steps?

Seq

Type

Question

Audio

Problem

What did you learn from this problem?

Clue

What did you learn from the clues?

Hint

What did you learn from the Hints?

Step

What did you learn from the Steps?

Step

How can we improve the Steps?