Simplifying Exponential Expressions- 2

Which has the greatest overall value?

• 5^-2

• (-2)⁰

• 1²

• 2¹

Answer explanation

5^-2 = 1/25

(-2)⁰ = 1

1⁰ = 1

2¹ = 2

• 0

• 1

• 2

• 3

Answer explanation

Anything the power of 0 is.....

1

Which is NOT equal to 1?

• (4/3)⁰

• 1²³

• 0¹

• 1⁰

Answer explanation

(4/3)⁰ = 1

1²³ = 1

0¹ = 0

1⁰ = 1

• -8

• 16

• 1

  ______

  16

• 1

  ______

  4²

Answer explanation

4^-2 = _1 = _1

4² 16

• 3⁵

• 3⁶

• 9⁵

• 6⁵

Answer explanation

(3²) x (3²) = 3⁵

When like bases with exponents are multiplied....

Add the exponents & keep the base

• 2⁷

• 1

  ______

  128^-1

• 4⁷

• 2⁶ + 2⁶

Answer explanation

4⁷ = 16,384

2⁷ = 128

1

___ = 128

128^-1

2⁶ + 2⁶ = 64+64 = 128

• 7⁴

• 7⁹

• 7¹⁵

• 7^-9

Answer explanation

7¹²

___ = 7⁹

7³

When dividing like bases with exponents....

Subtract the exponents

Which is NOT the same as 6^-2?

• 1

  ______

  6^-2

• (1¹/6¹)²

• 1

  ______

  6²

• X⁰6^-2

Answer explanation

1

___ = 6²

6^-2

(1¹/6¹)² = 1 / 6²

1

___ = 6^-2

6²

X⁰6^-2 = (1) / 6²

• 3⁴

• 3¹⁰

• 3⁶

• 3¹⁶

Answer explanation

(3²)⁸ = 3¹⁶

When raising an exponent to another exponent, multiply the two values finding the new base power

• 2

• 3

• 32

• 28

Answer explanation

8³ 512

___ = ___ = 32

4² 16