Simplifying Expressions with Exponents

The video tutorial explains how to simplify an expression with exponents, focusing on grouping common bases and converting negative exponents to positive. The process involves rewriting the expression, adding exponents for common bases, and ensuring all exponents are positive by moving terms to the denominator. The final simplified form is presented with positive exponents.

What is the initial expression that needs to be simplified?

• n^2 * r^5 * n^-7

• n^2 * r^5 * n^7

• n^2 * r^5 * n^2

• n^2 * r^5 * n^5

What is the first step in simplifying the expression?

• Multiply the exponents

• Subtract the exponents of common bases

• Add the exponents of common bases

• Divide the exponents

What is the result of simplifying n^2 * n^-7?

• n^5

• n^-5

• n^9

• n^0

What operation is performed on the exponents when multiplying like bases?

• Division

• Multiplication

• Subtraction

• Addition

How can n^-5 be expressed with a positive exponent?

• n^10

• n^0

• 1/n^5

• n^5

What is the simplified form of the expression with positive exponents?

• r^5 * n^-5

• n^5 / r^5

• r^5 * n^5

• r^5 / n^5

What is another way to express r^5 / n^5?

• r^5 * n^-5

• r^5 * n^5

• n^5 / r^5

• r / n^5

Why is it important to express the answer with positive exponents?

• To decrease the value of the expression

• To follow the given instructions

• To make calculations easier

• To increase the value of the expression

What is the base of the expression that remains unchanged during simplification?

• 5

• r

• 2

• n