Algebra exponents Day 1

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add
• subtract
• multiply
• divide

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Simplify
x⁰

• x
• ⁰
• 1
• Undefined

Answer explanation

Simplify the following:

(x³)⁴ = x¹²

This is power of power rule:

When taking an exponent to another power, keep the base and multiply the exponents.

Answer explanation

Simplify the following:

(5x⁵)² = 25x¹⁰

This is power of power rule:

When taking an exponent to another power:

-Coefficient gets the exponent (5^2 = 25)

-multiply the exponents.

• 1

• 5x

• -8

• 16

• -16

• 8

Answer explanation

Simplify the following:

 (-4)²

Means (-4)(-4) = 16

• 7

• 1

• simplified

• 7p

Answer explanation

Simplify the following:

7p⁰

p⁰ = 1

So...7(1) = 7

• 5xy

• 1

• 0

• 5

Answer explanation

The 0 belongs to everything, thus making every number to the power of 0.

Anything to the power of 0 is 1.

(8⁵)³

• 8⁸
• 8¹⁵
• 8²
• 1/8²