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Master Combining Exponents: Rules, Tips, and Examples

Grade 12 Math: Master Advanced Concepts & Skills

12FC.A1.1

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Product rule of exponents

Exponents: Product rule (a^x)(a^y) = a^(x+y)

Exponents: Division rule: a^x / a^y = a^(x-y)

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

12FC.A1.2

Exponents: Power rule: (a^x)^y = a^(xy)

Exponents: Power rule

Exponents: Negative exponents

Negative exponent rule

Combining the exponent rules

12FC.A1.3

Exponents: Rational exponents

Convert between radicals and rational exponents

12FC.A1.4

Scientific notation

12FC.A1.5

Solving exponential equations with logarithms

Solving exponential equations using exponent rules

12FC.A1.6

Graphing exponential functions

Graphing transformations of exponential functions

Exponential growth and decay by a factor

Exponential decay: Half-life

12FC.A1.7

Solving for exponents

12FC.A2.1

Relationship between two variables

Understand relations between x- and y-intercepts

Applications of linear equations

12FC.A2.2

Domain and range of a function

Identifying functions

12FC.A2.3

Rate of change

12FC.A2.4

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope equation: <katex>m = \frac{y_2-y_1}{x_2- x_1}</katex>

Slope intercept form:  y = mx + b

Slope intercept form: y = mx + b

12FC.A2.5

General form:  Ax  + By  + C = 0

General form: Ax + By + C = 0

Point-slope form: y - y_1 = m(x - x_1)

12FC.A2.6

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

12FC.A3.1

Solving radical equations

Solving Radical Equations Involving One Square Root Term

Solving Radical Equations Involving More than One Square Root Term

12FC.A3.2

Solving literal equations

12FC.A3.3

Function notation

Parallel and perpendicular lines in linear functions

Applications of linear relations

Function notation (advanced)

12FC.A3.4

Money related questions in linear equations

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

12FC.C1.1

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Conversions involving squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

12FC.C1.2

Circles and circumference

Circle properties

Arcs of a circle

Areas and sectors of circles

12FC.C1.3

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

12FC.C2.1

Surface area and volume of cones

Surface area and volume of spheres

12FC.C2.2

Line symmetry

Rotational symmetry and transformations

12FC.C2.3

Surface area of 3-dimensional shapes

12FC.C3.1

Use sine ratio to calculate angles and sides (Sin = o / h)

Use cosine ratio to calculate angles and sides (Cos = a / h)

Combination of SohCahToa questions

Use tangent ratio to calculate angles and sides (Tan = o / a)

12FC.C3.2

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

ASTC rule in trigonometry (All Students Take Calculus)

ASTC rule in trigonometry

12FC.C3.3

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

12FC.C3.4

Law of sines

Ambiguous case: SSA triangles

Law of cosines

Applications of the sine law and cosine law

12FC.D1.1

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

12FC.D1.2

Census and bias

Census and Bias

Classifying Bias

12FC.D1.3

Influencing factors in data collection

Data collection

12FC.D1.4

Bivariate, scatter plots and correlation

12FC.D1.5

Regression analysis

Equation of the best fit line

12FC.D2.1

Frequency distribution and histograms

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

Measures of relative standing - z-score, quartiles, percentiles

12FC.D2.2

Frequency polygons

Shapes of distributions

12FC.D2.3

Stem and leaf plots

The Leaf and Stem of Numbers

Recognizing the Leaf and Stem of Numbers

Recognizing The Leaf And Stem of Numbers Leaf

Recognizing The Leaf And Stem of Numbers Stem

Reading Stem and Leaf Plots — Median

Reading Stem and Leaf Plots — Range

stem and leaf plots Range

Reading Stem and Leaf Plots

Reading Stem and Leaf Plots — Mean

Reading Stem and Leaf Plots — Mode

We&apos;ve got you covered with our complete help for Grade 12 math, whether it&apos;s Ontario curriculum, <a href="https://www.alberta.ca/writing-diploma-exams.aspx">Diploma exam</a> (Alberta), <a href="http://www.edu.gov.mb.ca/k12/assess/tests/index.html">Provincial test</a> (Manitoba) or <a href="https://www.saskatchewan.ca/residents/education-and-learning/departmental-exams">Departmental exam</a> (Saskatchewan).

Aligned with your class or textbook, you will get grade 12 math help on topics like Trigonometric identities, Vectors, Permutations and Combinations, Matrices, Polynomial functions and so many more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest grade 12 math questions. Then, strengthen your understanding with tons of grade 12 math practice. 

All our lessons are taught by experienced Grade 12 math teachers. Let&apos;s finish your homework in no time, and ACE that final.