Exponents Basic

Exponents Basics

Multiple Choice

In the following, which number is the exponent?

5³

• 5

• 3

Multiple Choice

In the following, which is the base?

x⁴

• x

• 4

Multiple Choice

How can you represent 8 x 8 x 8 with exponents?

• 8³

• 3⁸

• x³

Power of 1

Anything to the power of 1 equals itself

5¹ = 5

8¹ = 8

x¹ = x

y¹ = y

Multiple Choice

Evaluate 3¹

• 0

• 1

• 3

Multiple Choice

Simplify n¹

• 0

• 1

• n

Multiple Choice

Simplify (3x)¹

• 3x

• 1

• x

• 3

Power of 0

Anything to the power of 0 equals 1

5⁰ = 1

8⁰ = 1

x⁰ = 1

y⁰ = 1

Multiple Choice

Evaluate 3⁰

• 0

• 1

• 3

Multiple Choice

Simplify n⁰

• 0

• 1

• n

Multiple Choice

Simplify (3x)⁰

• 3x

• 1

• x

• 3

Examples

5³ ⋅ 5⁴ = 5³⁺⁴ = 5⁷

.

x³ ⋅ x⁴ = x³⁺⁴ = x⁷

.

n² ⋅ n⁶ = n²⁺⁶ = n⁸

^.

y⁸ ⋅ y³ = y⁸⁺³ = y¹¹

^.

Remember the base stays the same and you add the exponents

Multiple Choice

Simplify 4⁵ ⋅ 4³

• 4¹⁵

• 4⁸

• 16⁸

Multiple Choice

Simplify x⁵ ⋅ x³

• x¹⁵

• x⁸

• x¹⁶

Multiple Choice

Simplify x² ⋅ x⁴

• x⁶

• x⁸

• x²

Multiple Choice

Simplify p⁴ ⋅ p⁹

• p⁴⁹

• p³⁶

• p¹³

Multiple Choice

Simplify m³ ⋅ m⁷

• m¹⁰

• m⁸

• m²¹

Multiple Choice

Simplify m⁶ ⋅ m

• m⁶

• m⁷

• m⁸

Multiple Choice

Simplify x⁴ ⋅ x

• x⁴

• x⁸

• x⁵