Exponents and Their Properties

This lesson covers the multiplication of terms with different bases but the same exponent. It explains the concept of bases and exponents, demonstrates how to use expanded form to simplify expressions, and provides a general rule for multiplying different bases with the same exponent. The lesson also includes examples with variables and concludes with practice problems.

What is the base in the expression 7^3?

• 10

• 7

• 3

• 21

When multiplying expressions with different bases but the same exponent, what should you do with the bases?

• Add them

• Subtract them

• Multiply them

• Divide them

If you have 5^3 and 2^3, how can you simplify the expression?

• 10^3

• 2^6

• 7^3

• 5^6

How do you express 15^3 using its factors?

• 3^5 * 5^5

• 5^3 * 3^3

• 3^3 * 5^3

• 15^3

What is the result of simplifying 30^4 using its factors?

• 6^5 * 5^5

• 30^4

• 5^4 * 6^4

• 6^4 * 5^4

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

• 2^4x^4

• 4x^4

• 2x * 2x * 2x * 2x

• 2^4 * x^4

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

• a^n - b^n

• a^n + b^n

• (a*b)^n

• (a+b)^n

What is the value of 3^0?

• Undefined

• 0

• 1

• 3

How do you evaluate 2^4?

• 20

• 16

• 12

• 8

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

• 0

• 49

• 1

• 7