Simplifying Expressions with Exponents

The video tutorial explains how to simplify the expression 28b^6 divided by 7b. It begins by rewriting the expression as a fraction, 28/7 times b^6/b, and then applies exponent properties to simplify b^6/b to b^5. The coefficient 28/7 is simplified to 4, resulting in the final simplified expression of 4b^5.

What is the initial expression that needs to be simplified?

• 35b to the fifth divided by 5b

• 21b to the fourth divided by 3b

• 14b to the third divided by 2b

• 28b to the sixth divided by 7b

How can the expression 28b to the sixth divided by 7b be rewritten using division?

• 28 times b to the sixth divided by 7

• 7/28 times b to the sixth over b

• b to the sixth divided by 28/7

• 28/7 times b to the sixth over b

What is the result of simplifying 28 divided by 7?

• 3

• 4

• 5

• 6

What is the exponent result of b to the sixth divided by b to the first?

• b to the seventh

• b to the sixth

• b to the fifth

• b to the fourth

What is the final simplified form of the expression?

• 6b to the fifth

• 3b to the fifth

• 4b to the fifth

• 5b to the fifth