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Algebra

Using exponents to describe numbersAlgebra

Exponent rulesAlgebra

Order of operations with exponents- Home
- AU Essential Maths
- Indices

Still Confused?

Try reviewing these fundamentals first.

Algebra

Using exponents to describe numbersAlgebra

Exponent rulesAlgebra

Order of operations with exponentsStill Confused?

Try reviewing these fundamentals first.

Algebra

Using exponents to describe numbersAlgebra

Exponent rulesAlgebra

Order of operations with exponentsNope, I got it.

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Get Started Now- Intro Lesson13:31
- Lesson: 1a1:02
- Lesson: 1b0:32
- Lesson: 1c0:45
- Lesson: 1d0:38
- Lesson: 2a0:55
- Lesson: 2b2:13
- Lesson: 3a1:26
- Lesson: 3b1:20

Scientific notation is a way of writing number. It is especially useful when we want to express very large and small numbers. There are two parts in scientific notation. The first part consists of digits, and the second part is x 10 to a power.

Basic concepts: Using exponents to describe numbers, Exponent rules, Order of operations with exponents,

Related concepts: Exponents: Product rule $(a^x)(a^y)=a^{(x+y)}$, Exponents: Power rule $(a^x)^y = a^{(x\cdot y)}$, Exponents: Negative exponents,

- IntroductionWhat is scientific notation?

• How to convert scientific notations to numbers?

• How to convert numbers to scientific notations? - 1.Write the number in scientific notationa)23660000b)0.00034320000c)133.4$\times {10^{5}}$d)0.000346$\times {10^{-9}}$
- 2.Write the number in standard notationa)1.863$\times {10^{13}}$b)-3.64 $\times {10^{-9}}$
- 3.Calculate the following scientific notationsa)$(0.005 \times {10^{-3}} )(2.9 \times {10^{-6}} ) =$b)$(6.75 \times {10^3} )/(0.02 \times {10^{-3}} ) =$

21.

Indices

21.1

Indices: Product rule $(a^x)(a^y)=a^{(x+y)}$

21.2

Indices: Division rule ${a^x \over a^y}=a^{(x-y)}$

21.3

Indices: Power rule $(a^x)^y = a^{(x\cdot y)}$

21.4

Indices: Negative exponents

21.5

Indices: Zero exponent: $a^0 = 1$

21.6

Indices: Rational exponents

21.7

Combining laws of indices

21.8

Scientific notation

21.9

Convert between radicals and rational exponents

21.10

Solving for indices

We have over 1420 practice questions in AU Essential Maths for you to master.

Get Started Now21.1

Indices: Product rule $(a^x)(a^y)=a^{(x+y)}$

21.2

Indices: Division rule ${a^x \over a^y}=a^{(x-y)}$

21.3

Indices: Power rule $(a^x)^y = a^{(x\cdot y)}$

21.4

Indices: Negative exponents

21.6

Indices: Rational exponents

21.7

Combining laws of indices

21.8

Scientific notation

21.9

Convert between radicals and rational exponents

21.10

Solving for indices