Powers and Exponents Flashcards

Integer

A whole number that can be positive, negative, or zero, but does not include fractions or decimals

$a^0$ (where a is any number)

$$1$$

$$a^1$$

$$a$$

$$a^{-n}$$

The reciprocal of $a^n$, also expressed as $\frac{1}{a^n}$

$$\frac{1}{a^{-n}}$$

$$a^n$$

$$2^0$$

$$1$$

$$2^1$$

$$2$$

$$2^2$$

$$4$$

$$2^3$$

$$8$$

$$2^4$$

$$16$$

$$2^5$$

$$32$$

$$2^6$$

$$64$$

$$2^7$$

$$128$$

$$2^8$$

$$256$$

$$2^9$$

$$512$$

$$2^{10}$$

$$1024$$

$$3^2$$

$$9$$

$$3^3$$

$$27$$

$$3^4$$

$$81$$

$$3^5$$

$$243$$

$$3^6$$

$$729$$

$$4^2$$

$$16$$

$$4^3$$

$$64$$

$$4^4$$

$$256$$

$$4^5$$

$$1024$$

$$5^2$$

$$25$$

$$5^3$$

$$125$$

$$5^4$$

$$625$$

$$6^2$$

$$36$$

$$6^3$$

$$216$$

$$7^2$$

$$49$$

$$7^3$$

$$343$$

$$8^2$$

$$64$$

$$8^3$$

$$512$$

$$9^2$$

$$81$$

$$9^3$$

$$729$$

$$10^2$$

$$100$$

$$10^3$$

$$1000$$

$$11^2$$

$$121$$

$$12^2$$

$$144$$

$$13^2$$

$$169$$

$$14^2$$

$$196$$

$$15^2$$

$$225$$

$$16^2$$

$$256$$

$$17^2$$

$$289$$

$$18^2$$

$$324$$

$$19^2$$

$$361$$

$$20^2$$

$$400$$

$$21^2$$

$$441$$

$$22^2$$

$$484$$

$$23^2$$

$$529$$

$$24^2$$

$$576$$

$$25^2$$

$$625$$

$$2^{-3}$$

$\frac{1}{8}$ or $\frac{1}{2^3}$

$$\frac{1}{2^{-3}}$$

$$8$$

1/2³

1/8

$$\frac12^{-3}$$

8

1/a$^{-n}$

a$^{n}$

a$^{-n}$

The reciprocal of a^n