Maths rules Flashcards

1
Q

how can this be re-written using the exponent Rule for Fractions:

A
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2
Q

how can this be re-written using the exponent Rule for Fractions:

A
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3
Q

How can this be re-written using the product rule for exponents

A
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4
Q

what is the Exponent Product Rule? apply it to the below

A

The Exponent Product Rule states that when you multiply numbers with the same base, you add their exponents:

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5
Q

Show that these are equal

A
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6
Q

What is the General Factorization Rule? how can we factor out 5 here?

A

Can only applly this when there is a common factor across all terms

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7
Q

Simplify this equation using the exponent rule

A
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8
Q

Simplify this equation using the exponent rule

A
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9
Q

Simplify this equation using the exponent rule

A
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10
Q

Simplify this

A

Factor out theta

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11
Q

What is this doing?

A

Theta multiplied but the total summed values

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12
Q

What is the negative exponent rule?

A

If a term has a negative exponent, it moves to the denominator and the exponent becomes positive.

Conversely, if a term in the denominator has a negative exponent, it moves to the numerator.

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13
Q

Division distributes over multiplication, explain this rule?

A

Basically if you have a multiplication in the numerator, you can seperate this out and multiply the entire fraction by any of the numerator values

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14
Q

Apply the negative exponent rule to this

A
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15
Q

What is the exponent rule for reciprocals ?

A
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16
Q

The square root of a number is the same as raising it to the power of?

17
Q

rewrite the square root as an exponent

18
Q

Apply the negative exponent rule to rewrite the below equation

19
Q

rewrite this using the product rule for exponents

20
Q

what is the product rule for exponentials

A

Exponent multiplication rule

21
Q

Apply the product rule for exponentials to this

22
Q

Factor out the constant