Chapter 5: Q40. (page 227)

Simplify $\frac{30 a^{- 2} b^{- 6}}{60 a^{- 6} b^{- 8}}$ assuming that no variable equal to 0 .

Short Answer

Expert verified

The simplified value of expression is $\frac{a^{4} b^{2}}{2}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression to simplify is $\frac{30 a^{- 2} b^{- 6}}{60 a^{- 6} b^{- 8}}$ .

Step 2. Simplify the given expression.

Simplifying $\frac{30 a^{- 2} b^{- 6}}{60 a^{- 6} b^{- 8}}$ gives,

$\begin{matrix} \frac{30 a^{- 2} b^{- 6}}{60 a^{- 6} b^{- 8}} = \frac{a^{- 2} b^{- 6}}{2 a^{- 6} b^{- 8}} \\ = \frac{{(a)}^{- 2 - (- 6)} {(b)}^{- 6 - (- 8)}}{2} .... (Using \frac{x^{a}}{x^{b}} = x^{a - b}) \\ = \frac{{(a)}^{4} {(b)}^{2}}{2} \\ = \frac{a^{4} b^{2}}{2} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $\frac{a^{4} b^{2}}{2}$ .

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Simplify $\frac{30 a^{- 2} b^{- 6}}{60 a^{- 6} b^{- 8}}$ assuming that no variable equal to 0 .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the given expression.

Step 3. Conclusion.

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Simplify30a−2b−660a−6b−8 assuming that no variable equal to 0 .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the given expression.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Geometry

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Simplify $\frac{30 a^{- 2} b^{- 6}}{60 a^{- 6} b^{- 8}}$ assuming that no variable equal to 0 .