Powers and Roots (Edexcel GCSE Maths): Flashcards

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Powers and Roots - GCSE Algebra Revision
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Purpose of powers notation

Shorthand for repeated multiplication

Multiplying powers with same base

Add the powers

Dividing powers with same base

Subtract the powers

Power raised to another power

Multiply the powers

Any number to the power 1

Equals itself

Any number to the power 0

Equals 1

11 to any power

Equals 1

Fraction raised to a power

Apply power to both numerator and denominator

Negative power rule

Turn upside-down (reciprocal) and make power positive

What fractional powers represent

Roots

What does x12x^{\frac{1}{2}} mean?

Square root

What does x13x^{\frac{1}{3}} mean?

Cube root

Two-stage fractional powers order

Root first, then power

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