Calculus math 4 honors, Cheat Sheet of Mathematics

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2024/2025

Uploaded on 04/22/2025

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Exponent Rules Review Warm Up
Product Rule
xaโ‹…xb = _____________
1. x4โ‹…x6
2. a8โ‹…a1
3. y3โ‹…y9
Quotient Rule
= _____________
๐‘ฅ๐‘Ž
๐‘ฅ๐‘
1.
๐‘ฅ6
๐‘ฅ4
2.
โ„Ž10
โ„Ž5
3.
๐‘9
๐‘7
Power Rule
(xa)b = _____________
1. (x5)2
2. (g7)4
3. (y8)3
Power of a Product Rule
(xy)a = _____________
1. (xy)5
2. (2x)3
3. (3y)2
Power of a Quotient Rule
= _____________
(๐‘ฅ
๐‘ฆ)๐‘Ž
1.
(๐‘ฅ
๐‘ฆ)4
2.
(2
๐‘ฆ)3
3.
(๐‘ฅ
3)2
Zero Exponent Rule
x0 = _____________
1. m0
2. โซช0
3. e0
Negative Exponent Rule
x-a = _____________
1. x-4
2. y-7
3. m-5
Fractional Exponent Rule
= _____________
๐‘ฅ๐‘Ž/๐‘
1.
๐‘ฅ5/3
2.
๐‘ค7/2
3.
๐‘ฅ2/5

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Exponent Rules Review Warm Up Product Rule xaโ‹…xb^ = _____________

  1. x^4 โ‹…x^6 2. a^8 โ‹…a^1 3. y^3 โ‹…y^9 Quotient Rule = _____________ ๐‘ฅ๐‘Ž ๐‘ฅ๐‘

๐‘ฅ^6 ๐‘ฅ^4

โ„Ž^10 โ„Ž^5

๐‘^9 ๐‘^7 Power Rule (xa)b^ = _____________

  1. (x^5 )^2 2. (g^7 )^4 3. (y^8 )^3 Power of a Product Rule (xy)a^ = _____________
  2. (xy)^5 2. (2x)^3 3. (3y)^2 Power of a Quotient Rule ( = _____________ ๐‘ฅ ๐‘ฆ )^ ๐‘Ž

๐‘ฅ ๐‘ฆ )^ 4

  1. ( 2 ๐‘ฆ )^ 3 3. ( ๐‘ฅ 3 )^ 2 Zero Exponent Rule x^0 = _____________
  2. m^0 2. โซช^0 3. e^0 Negative Exponent Rule x-a^ = _____________
  3. x-4^ 2. y-7^ 3. m- Fractional Exponent Rule ๐‘ฅ = _____________ ๐‘Ž/๐‘

5/

  1. ๐‘ค 7/ 3. ๐‘ฅ 2/