Exploring the Properties of Exponents

What is the main objective of today's lesson?

• To solve quadratic equations

• To learn about the history of exponents

• To understand and use zero and negative exponents

• To memorize the multiplication table

In the expression a^n, what is 'a' referred to as?

• Exponent

• Power

• Base

• Coefficient

What is the value of any non-zero base raised to the power of zero?

• 0

• 1

• The base itself

• Undefined

How do you simplify 4^-2?

• 16

• 1/4

• 4

• 1/16

What happens to a negative exponent when you take the reciprocal of the base?

• It doubles

• It becomes zero

• It remains negative

• It becomes positive

What is the product of powers property?

• Multiplying the bases and adding the exponents

• Adding the bases and adding the exponents

• Adding the bases and multiplying the exponents

• Multiplying the bases and subtracting the exponents

How do you simplify 6^6 / 6^2?

• 6^8

• 6^3

• 6^4

• 6^2

What is the power of a power property?

• Adding the exponents

• Multiplying the exponents

• Subtracting the exponents

• Dividing the exponents

How do you simplify (3x)^2?

• 3x

• 9x^2

• 3x^2

• 6x

What is the simplified form of (4/3x)^-3?

• 64/27x^-3

• 27/64x^-3

• 64/27x^3

• 27/64x^3