Step-4

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:
\$ (-x^(-6) \times (-9)y^2)((-7)x^(-2)\times y^(-3)) \$

2

Step

Multipling the exponents of same variables

\$ (9x^(-6)y^2)((-7)x^(-2)y^(-3)) \$

3

Step

Separate all the variables and numbers

\$ (9 × -7 ) (x^(-6)y^2 × x^(-2)y^(-3) )\$

4

Formula:

By using the formula

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

5

Step

After simplification we get

\$ -63 x^(-6+(-2))y^(2+(-3))\$

6

Step

After simplification we get

\$ -63 x^(-6-2)y^(2-3)\$

7

Step

After simplification we get

\$ -63 x^(-8)y^(-1)\$

8

Formula:

By using the formula

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

9

Step

After simplification we get

\$ -63/(x^8y)\$

10

Answer

A

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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