Exponent Rules Review

<a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-exponent-rules-review">Exponent Rules Review Exercise</a>We can use the same exponent rules from arithmetic on algebraic variables too! <ol> <li>Rule 1: $x^{-a} = \frac{1}{x^a}$, for example: $x^{-3} = \frac{1}{x^3}$</li> <li>Rule 2: $x^{a}x^b = x^{a+b}$, for example: $x^{3}x^7 = x^{10}$</li> <li>Rule 3: $\frac{x^a}{x^b} = x^{a-b}$, for example: $\frac{t^5}{t^8} = t^{-3}$</li> <li>Rule 4: $x^0 = 1$ (except if $x$ = 0, since $0^0$ is undefined)</li> <li>Rule 5: $x^{a}y^{a} = (xy)^a$, for example: $a^{8}b^8 = (ab)^8$</li> <li>Rule 6: $(\frac{x}{y})^a = \frac{x^a}{y^a}$, for example: $(\frac{s}{t})^3 = \frac{s^3}{t^3}$</li> <li>Rule 7: $(x^a)^b = x^{ab}$, for example: $(z^3)^4 = z^{12}$</li> </ol> Keep this in your toolkit when working with algebra, they can be very useful!