Step-5

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:
\$ (-9x^(-8) \times (-4)y^12)((-6)x^(-8) \times (-5)y^(-10)) \$

2

Step

Multipling the exponents of same variables

\$ (36x^(-8)y^12)(30x^(-8)y^(-10)) \$

3

Step

Separate all the variables and numbers

\$ (36 × 30 ) (x^(-8)y^12 × x^(-8)y^(-10) )\$

4

Formula:

By using the formula

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

5

Step

After simplification we get

\$ 1080 x^(-8+(-8))y^(12+(-10))\$

6

Step

After simplification we get

\$ 1080 x^(-8-8)y^(12-10)\$

7

Step

After simplification we get

\$ 1080 x^(-16)y^2\$

8

Formula:

By using the formula

\$ a^-n = 1/a^n\$

9

Step

After simplification we get

\$ (1080y^2)/(x^16)\$

10

Answer

B

Tutor: Questions

Seq Type Question Audio

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?


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