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Algebra

Product rule of exponents- Home
- A-Level Maths
- Laws of Indices

Still Confused?

Try reviewing these fundamentals first.

Algebra

Product rule of exponentsStill Confused?

Try reviewing these fundamentals first.

Algebra

Product rule of exponentsNope, I got it.

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Get Started Now- Lesson: 11:52
- Lesson: 22:08

Basic concepts: Product rule of exponents,

Related concepts: Product rule,

- 1.prove $3^5 \cdot 3^2 = 3^{5+2} = 3^7$
- 2.simplify: $(3a^2b)(-5a^4b^{10})$

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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