Simplifying Exponents and Expressions

The lesson covers multiplying terms with different bases but the same exponent, using expanded form to simplify expressions, and introduces a new rule for simplification. It includes examples, working backwards with expressions, and evaluating expressions. The lesson concludes with practice instructions.

What is the base in the expression 7^3?

• 3

• 7

• 10

• 21

If you have 5^3 * 2^3, what is the simplified form?

• 25^3

• 5^6

• 10^3

• 7^3

How would you express 15^3 using its factors?

• 15^3

• 3^5 * 5^5

• 3^3 * 5^3

• 5^3 * 3^3

What is the result of simplifying 30^4 using factors 6 and 5?

• 5^4 * 6^3

• 6^5 * 5^5

• 30^4

• 6^4 * 5^4

How do you express (2x)^4 in expanded form?

• 2^4 * x^4

• 2x * 2x * 2x * 2x

• 4^2 * x^2

• (2^4) * (x^4)

What is the simplified form of a^n * b^n?

• a^n + b^n

• (a*b)^n

• a^n * b^n

• a^b

What is the value of 3^0?

• 0

• 1

• 3

• Undefined

How do you evaluate 2^4?

• 16

• 12

• 8

• 20

What is the result of 7^4 / 7^4?

• 0

• 1

• 7

• 49

How do you express 7^-2 as a positive exponent?

• 7^2

• 1/7^2

• 7^-2

• 1/49