Exponents

Multiplying w/Exponents

100

The rule for multiplying with exponents.

What is keep the base, add the exponents?

200

Simplify. x²*x³

x⁵

300

Simplify. 2x²*x⁵

2x⁷

400

Simplify. 4x³y*3xy

12x⁴y²

500

5²xy⁶*x²yz

25x³y⁷z

Dividing with Exponents

100

The rule for dividing with exponents.

What is keep the base, subtract the exponents?

200

Simplify. x⁶/x³

x³

300

4x⁴/2x

2x³

400

Simplify. 3xy/9xy

1/3

500

Simplify. 5x²y³/10xy⁶

x/2y³  or 1x/2y³

Power of Zero

100

The zero power rule.

What is when your exponent is zero, the answer is 1?

(unless the base is 0, then it is undefined)

200

Simplify. x⁰

1

300

Simplify. 4x⁰

4(1)=4

400

4²x*3⁰y

16x*1y

=16xy

500

Simplify. x²+x+25⁰+2x

x²+3x+1

Raising Powers

100

The power rule.

What is keep the base, multiply the exponents.

200

Simplify. (x³)⁵

x¹⁵

300

Simplify. (a⁴b³)³

a¹²b⁹

400

Simplify. (25x³)²

625x⁶

500

Simplify. (4xy³)³

64x³y⁹

Squares and Cubes

100

Simplify. 13²

169

200

Simplify. 5³

125

300

The square root of 625.

25

400

Simplify. 20²+15²

625

500

The square root of 100 plus the square root of 49 plus 2³

10+7+8=25