Examples
Which law is this?
Evaluate
Write as a power
100

160 =1  Is an example of what law?

This is the Zero law 

100

When you multiplying the exponents with the same base you add the powers and keep the base.

Product law 

100

64/64 =?

1

100

82x88=?

write as a power 

810

200

24 x 25 =29  

This is an example of what Law?

This is the Product law 

200

 A base number with an exponent of zero will always equal one or equals negative one depends where the negative sign is.

Zero law 

200

70 x 71 =?

7

200

67/61=

write as a power

66


300

32/311 =39

This is an example of what law?

This is the quotient law

300

When a power is raised to another power, you keep the base the same and multiply the exponents together.

Power of a power 

300

[-2] x [-2] =?

16

300

54 x 57 =

write as a power

511

400

[4x1]3 =43 x 13 

What law is this?

This is the power of a product law 

400

When a fraction is raised to an exponent that the outer exponents goes to both the numerator and the denominator individually. 

Power of a Quotient law 

400

84/81 =?

512 

400

(53)2

write as a power 

(5)6

500

[54]2 =58

What law is this?

This is a power of a power 
500

When you divide two powers with the same base, you keep the base and subtract the exponents.

Quotient Law 

500

53 x 54 =?

78125

500

(5x6)0


write as a power 

(50x60)

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