Exponent Rules and Simplification

The video tutorial explains the power rule in mathematics, which states that raising a power to another power involves multiplying the exponents. It provides examples, such as simplifying a cubed to the fourth power and applying the rule to polynomial expressions. The tutorial also covers simplifying expressions like XY squared, demonstrating the multiplication of exponents.

What does the power rule state about a base raised to an exponent?

• a to the m raised to n equals a to the m times n

• a to the m raised to n equals a to the m divided by n

• a to the m raised to n equals a to the m minus n

• a to the m raised to n equals a to the m plus n

How many times is 'a' multiplied when simplifying a cubed to the fourth power?

• 12 times

• 4 times

• 3 times

• 9 times

What is the result of a cubed to the fourth power?

• a to the 12th

• a to the 7th

• a to the 6th

• a to the 9th

When applying the power rule to a polynomial, what must be true about the terms in the bracket?

• There must be only one term

• There must be exactly two terms

• There must be no terms

• There must be more than one term

What is the simplified form of 4 squared?

• 8

• 20

• 12

• 16

How do you simplify 4m cubed n to the 4 using the power rule?

• 4 squared m to the 3 n to the 4

• 4 squared m to the 6 n to the 8

• 4 to the 1 m to the 3 n to the 4

• 4 to the 1 m to the 6 n to the 8

What is the result of multiplying 2 times 3 in the context of the power rule?

• 5

• 6

• 7

• 8

What is the result of multiplying 2 times 4 in the context of the power rule?

• 8

• 7

• 9

• 6

What is the simplified form of 4 to the exponent 1?

• 16

• 8

• 4

• 12

What is the result of 4 times 4?

• 16

• 8

• 12

• 20