Multiplying and Dividing
Powers of a Power
Evaluate Roots
Rational Exponents
Misc.
100

Simplify using Laws of Exponents: c · c5

c6

100

Simplify using Laws of Exponents: (32)5

310

100

square root of 81

+-9

100

Write in rational exponent form (square root of 25)

25(1/2)

100

What do we do to the exponents when we have the same bases being multiplied?

Add them

200

Simplify using Laws of Exponents: b12 / b8

b4

200

Simplify using Laws of Exponents: (53)5

515

200

cube root of 8

2

200

Write in rational exponent form (cube root of 8)

8(1/3)

200

What do we do to the exponents when we have the same bases being divided?

Subtract them

300

Simplify using Laws of Exponents: (6b12) (3b2)

18b14

300

Simplify using Laws of Exponents: (2x4)3

8x12

300
cube root of -125

-5

300

Write in radical form 36(1/2)

square root of 36

300

What is the name of this exponent property: 

(xm)n = xmn


Power of a Power Property

400

Simplify using Laws of Exponents: -8r10/2r5

-4r10

400

Simplify using Laws of Exponents: (68)4

632

400

square root of -25

no solution

400

Write in radical form 100(3/2)

(square root of 100)3

400
Simplify, with only positive exponents. (x-5y)/z-2

yz2/x5

500

Simplify using Laws of Exponents: (-9r0s)(-3s2)

27s3
500

Simplify using Laws of Exponents: (-10p2)2

100p4
500

square root of 49x2

7x

500

Write in radical form 100(-1/2)

1/(square root of 100)

500

Any base to the zero power is equal to this.

1

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