Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![**Educational Content: Radical Expressions**
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**Problem Statement:**
Find the product. Write your answer in radical form.
Assume all variables represent positive real numbers.
\[
\frac{13}{x^{14}} \cdot x^{-\frac{3}{7}}
\]
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**Explanation:**
The expression consists of two parts being multiplied:
1. **Fractional Component:** \(\frac{13}{x^{14}}\)
- This indicates the number 13 divided by \(x\) raised to the 14th power.
2. **Exponential Component:** \(x^{-\frac{3}{7}}\)
- This represents \(x\) raised to the power of \(-\frac{3}{7}\), which is a fractional exponent indicating the seventh root of \(x\) cubed, taken reciprocally due to the negative sign.
To find the product and express it in radical form, you should:
1. Combine the exponents of \(x\) as: \(x^{-14} \cdot x^{-\frac{3}{7}} = x^{-14 - \frac{3}{7}}\)
2. Express the result using the rules of exponents and radicals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc821de77-dd96-450a-a649-62f8f8f38521%2Fae2156c6-1cb1-4c30-a1cd-c938ad50dbf0%2Febdinj_processed.jpeg&w=3840&q=75)
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