Simplifying Expressions with Exponents

The video tutorial explains how to simplify mathematical expressions using the properties of exponents. It covers the multiplication of exponents, handling negative coefficients, and applying the power to power property. The tutorial provides step-by-step examples to demonstrate these concepts, ensuring a clear understanding of how to simplify complex algebraic expressions.

What is the result of multiplying 5n by 49n^6?

• 245n^8

• 245n^6

• 245n^5

• 245n^7

What is the result of multiplying 5n by 7^2 * n^6?

• 245n^7

• 245n^6

• 245n^5

• 245n^8

What is the result of multiplying 5n by 7^2 * n^6?

• 245n^8

• 245n^5

• 245n^6

• 245n^7

When simplifying -2x^2 raised to the 3rd power, what is the correct result?

• -8x^3

• 8x^3

• -8x^6

• 8x^6

How do you handle a negative coefficient when raising it to a power?

• Ignore the negative sign

• Multiply the negative sign by the power

• Place the negative coefficient in parentheses

• Add the negative sign to the power

What is the result of expanding -2x^2 raised to the 3rd power?

• -8x^3

• 8x^6

• -8x^6

• 8x^3

What is the result of 3x^8 * 2x^6 raised to the 3rd power?

• 72x^34

• 72x^24

• 72x^18

• 72x^30

How do you simplify 3x^8 * 2x^6 raised to the 3rd power?

• 72x^34

• 72x^24

• 72x^18

• 72x^30

What is the simplified form of 7B * 7B * 64B^3?

• 3,136B^3

• 3,136B^4

• 3,136B^6

• 3,136B^5

What is the simplified form of 7B * 7B * 4^3 * B^3?

• 3,136B^3

• 3,136B^4

• 3,136B^6

• 3,136B^5