Rules of Exponents with Variables

• add

• subtract

• multiply

• divide

• add

• subtract

• multiply

• divide

When a number or a variable has a negative exponent, for example x⁻⁶, what is the proper way to write it?

• put the negative sign in front of the x, for example -x6

Simplify:

(2x³y)³

• 8x⁹y³

• 16x³y⁶

• 6x³y⁶

• 8x³y⁹

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

Anything raised to a power of zero is always:

for example: (3x³)⁰

• 0

• 1

• itself

• negative

What should happen to the exponents in this expression? (-4r⁵)(2r⁸)

• add them

• subtract them

• multiply them

• divide them

• x²

• x

• 1

• x⁸

• add

• subtract

• multiply

• divide

• 8x⁴
• 8x⁸
• 6x⁴
• 6x⁸