Chapter 7: Q23. (page 460)

Simplify the given expression. Assume that no denominator equals zero.
$a^{- 3} b^{0} c^{6}$

Short Answer

Expert verified

The final expression is $\frac{c^{6}}{a^{3}}$ .

Step by step solution

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define the meaning of zero exponent.

Zero exponent means for any non-zero real number raised to the power of 0 is equal to 1.

Step 3. Define negative exponent rule.

According to the negative exponent rule a number raised to a negative power is equal to one over the number raised to the positive power.

$a^{- n} = \frac{1}{a^{n}}$

Where, $a$ is any non-zero real number.

Step 4. Simplify the expression a−3b0c6.

Use the property of zero exponent.

$a^{- 3} b^{0} c^{6} = (a^{- 3}) (b^{0}) (c^{6}) = (a^{- 3}) (1) (c^{6}) = (a^{- 3}) (c^{6})$

Assume that the denominator is not equal to zero.

Use the property of negative exponent rule.

$(a^{- 3}) (c^{6}) = (\frac{1}{a^{3}}) (c^{6}) = \frac{c^{6}}{a^{3}}$

This is the final simplified expression.

Therefore the final expression is $\frac{c^{6}}{a^{3}}$ .

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Simplify the given expression. Assume that no denominator equals zero.
$a^{- 3} b^{0} c^{6}$

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define the meaning of zero exponent.

Step 3. Define negative exponent rule.

Step 4. Simplify the expression a−3b0c6.

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Simplify the given expression. Assume that no denominator equals zero.a−3b0c6

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define the meaning of zero exponent.

Step 3. Define negative exponent rule.

Step 4. Simplify the expression a−3b0c6.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Theoretical and Mathematical Physics

Statistics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Simplify the given expression. Assume that no denominator equals zero.
$a^{- 3} b^{0} c^{6}$