Random
Product of Powers
Quotient of Powers
Power of Powers
100

Write out (2/3)4 as repeated multiplication

(2/3) x (2/3) x (2/3) x (2/3)

100

You do this to the exponents to multiply powers with the same base.

Add the exponents

100

You do this to the exponents when dividing powers with the same base.

Subtract the exponents

100

You do this to the exponents when finding the power to a power.

Multiply the exponents

200

Are 56 and 65 equal or not equal? 

Not equal 

56 = 15265 and 65 = 7776

200

Simplify: 52 x 56

= 52+6 = 58

200

Simplify: 25 / 22

23

200

Simplify by distributing the exponent (power of products): (32 x 2)3

36 x 23

300

Evaluate: 33 - 32

= 27 - 9 = 18

300

Simplify: 33 x 34 x 3

= 33+4+1 = 38

300

Simplify: 48 / 43

45

300

Evaluate: (22)4

22x4 = 28 = 256

400

Show 62 + 63 using repeated multiplication

(6 x 6) + (6 x 6 x 6)

400

Evaluate: 33 x 30

=33+0 = 33 = 27

400

Evaluate: 72 / 70

= 72-0 = 7= 49

400

Evaluate: (43)0

43x0 = 40 = 1

500

Evaluate. Express your answer as a decimal.

(2 + 2 x 4)2 / [(2)(4 x 6)]

= (2 + 8)2 / (48) = 100/48 = 2.083

500

Simplify: (n10) / (n5 x n2)

= n10 / n5+2 = n10-7 = n3

500

Evaluate: [(22)4] / [(2)(2)(24)]

28 / 26 = 22 = 4

500

Simplify: [(n3)4] / (n2)

= n3x4 / n2 = n12-2 = n10

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