Rules of Exponents

Simplify the following:
(x²y)⁵

• x⁷y⁵

• x²y⁵

• x¹⁰y⁵

• x⁵y⁵

According to exponent rules, when we raise a power to another power we _______ the exponents.

• add

• subtract

• multiply

• divide

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

According to exponent rules, when we divide the expressions we _______ the exponents.

• add

• subtract

• multiply

• divide

Simplify (-5.7)⁰

• 1

• 0

• -1

• -5.7

Simplify (2x⁴y⁷)³

• 6x⁷y¹⁰

• 6xy³²

• 8x¹²y²¹

• 8x⁷y¹⁰

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

UNDERSTANDING
If the exponent is a negative number...

• you will get a large number

• you will get a small number

Simplify the expression.
(x⁵ )(x⁵)

• x¹⁰

• x²⁵

• x¹⁶

• x⁸