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Order of operations with exponents- Home
- A-Level Maths
- Laws of Indices

Still Confused?

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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

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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)$(6.75 \times {10^3} )/(0.02 \times {10^{-3}} ) =$

2.

Laws of Indices

2.1

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

2.2

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

2.3

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

2.4

Indices: Negative indices

2.5

Zero index: $a^0 = 1$

2.6

Rational indices

2.7

Combining laws of indices

2.8

Solving for indices

2.9

Standard form

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