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Chapter 0: Problem 50

Simplify each exponential expression. $$\frac{20 x^{24}}{10 x^{6}}$$

Short Answer

Expert verified
The simplification of the given exponential expression is \(2x^{18}\).

Step by step solution

01

Fraction Simplification

First, simplify the fraction part of the expression, which is \(\frac{20}{10}\). This simplifies to 2.
02

Apply Exponent Law

The law of exponents states that to divide the same bases, you subtract the exponents. So the exponential part of the expression, \( x^{24} 梅 x^{6}\), becomes \(x^{24-6}\).
03

Subtract the Exponents

Subtract the exponents to get \(x^{18}\).
04

Combine The Results

Combine the results from step 1 and step 3. Multiply the simplified fraction (2) with the result from the exponent ( \(x^{18}\) ). So, the expression can be simplified to \(2x^{18}\).

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Most popular questions from this chapter

This will help you prepare for the material covered in the next section. a. Simplify: \(21 x+10 x\) b. Simplify: \(21 \sqrt{2}+10 \sqrt{2}\)

This will help you prepare for the material covered in the next section. a. Find \(\sqrt{16} \cdot \sqrt{4}\) b. Find \(\sqrt{16 \cdot 4}\) c. Based on your answers to parts (a) and (b), what can you conclude?

$$\text { factor completely.}$$ $$-x^{2}-4 x+5$$

Using an example, explain how to factor out the greatest common factor of a polynomial.

Give an example of a rational number that is not an integer.
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