Technique

Exponent and radical rules

Rewrite everything as one base to one power

3 min 3 steps

Roots, negative powers, and fractions all speak one language: exponents. Translate everything first, and the rest is the kind of counting I do honestly now.

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Calls on

Exponent laws and rational exponentsFactTurn every root and reciprocal into one exponent

Used by

Plug in concrete numbersTacticSwap letters for numbers, then match the choice
Rewrite into an equivalent formTacticAim for the choices' form, then check with a number
Find constants from an identityTacticMatch every power of x and the constants fall out
Build and analyze an exponential modelTacticPin the start and the factor; every step follows
Area and volume, forward and in reverseTacticWrite the formula, then solve for whatever's missing
Use scale factors for similar figuresTacticFind k, then use the power the measure needs