Simplify Expressions Negative Exponents

The video tutorial explains the concept of negative exponents and how to convert them into positive exponents. It covers the negative-exponent rule, which allows rewriting a number with a negative exponent as a reciprocal with a positive exponent. The tutorial provides examples to illustrate the conversion process and emphasizes the importance of expressing numbers with positive exponents for clarity.

What does the negative-exponent rule allow you to do with a number raised to a negative exponent?

• Convert it to a fraction with a positive exponent

• Add the number to its reciprocal

• Subtract the number from its reciprocal

• Multiply the number by itself

Why is it important to express numbers with positive exponents?

• It is a requirement for all mathematical expressions

• It changes the sign of the number

• It makes the number larger

• It simplifies calculations

If you have a negative exponent, does it mean the number itself is negative?

• Yes, always

• No, it makes the number positive

• No, it only affects the position of the exponent

• Yes, but only if the base is negative

How would you rewrite 4 raised to the negative second power?

• 4 squared

• 4 to the power of negative four

• 1 over 4 squared

• 4 to the power of zero

What is the result of converting 2 to the negative third power to a positive exponent?

• 2 to the power of three

• 1 over 2 to the power of negative three

• 1 over 2 to the power of three

• 2 to the power of negative six