Algebraic Expressions Flashcards

1
Q

What is sqrt(ab) the same as?

A

Sqrt(a) × sqrt(b)

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2
Q

What is sqrt(a/b) the same as?

A

Sqrt(a)/sqrt(b)

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3
Q

What is aⁿ × a² equal to?

A

aⁿ+²

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4
Q

What is aⁿ ÷ a² equal to?

A

aⁿ-²

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5
Q

What is (aⁿ)² equal to?

A

a²ⁿ

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6
Q

What is (ab)ⁿ equal to?

A

aⁿbⁿ

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7
Q

What is a½ equal to?

A

Sqrt(a)

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8
Q

What is a⅔ equal to?

A

Cbrt(a²)

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9
Q

What is a-ⁿ equal to?

A

1/aⁿ

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10
Q

What is a⁰ equal to?

A

1

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11
Q

How do you rationalise fractions in the form 1/sqrt(a) ?

A

Multiply the numerator and denominator by sqrt(a)

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12
Q

How do you rationalise fractions in the form 1/(a + sqrt(b)) ?

A

Multiply the numerator and denominator by a - sqrt(b)

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13
Q

How do you rationalise fractions in the form 1/(a - sqrt(b)) ?

A

Multiply the numerator and denominator by a + sqrt(b)

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