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Master Exponent Rules: Simplify Math with Powers

BC Grade 9 Math: Master Essential Skills & Concepts

Rational Numbers

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Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Mixed Operations with Decimals

Mixed Operations

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Solving problems with rational numbers in fraction form

Operations with fractions

Determine square roots of rational numbers

Square roots of rational numbers

Power and Exponents

Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Scale Factors and Similarity

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Multiplication and Division of Polynomials

Multiplying and dividing polynomials

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Linear Relations

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Solving Linear Equations

Solving linear equations using multiplicattion and division

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step Linear equations: ax+b = c, x/a +b = c

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property a(x+b)=c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Solving literal equations

Data Collection

Influencing factors in Data Collection

Influencing factors in data collection

Probability

BC Grade 9 Math

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Intro

Ex. 1:

Ex. 2:

Ex. 3:

Ex. 5:

Ex. 4:

<p>- Hi. Welcome to this question right here. So what we have here is that write each expression as a single power. Then, calculate, okay? What we have here is this, if you look at it very carefully, it's 4 to the power of 3 times 4 to the power of 4. So the base number must be the same and when you're multiplying all you have to do is just add the exponents together. So what we have is that, if the base numbers the same, this number right here and this number here can now be added together, okay? But it's given that that base for both numbers are identical, okay?<br />
So what happened is you just have to recopy the base over and then it's simply 3 plus 4 on the top. I'm just showing a little bit of my work. It's just 4 to the power of 7, okay? It becomes your single power form which is right there and that's my little arrow sign, okay? Which is 4 to the power of 7. And we use a calculator to help us because the number gets too big again. It's just equal to 1-6-3-8-4 and that is your final answer. Thanks for watching.</p>


Numbers with power can look complicated and difficult to calculate. Luckily, we can use exponent rules to simplify those expressions for a clear look and easier calculation.

Learning the laws and rules of exponents

Determining common multiples

Multiplying integers