 UPSKILL MATH PLUS

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Here are the degrees of prime numbers that are often used:

 $$n$$ $$1$$ $$2$$ $$3$$ $$4$$ $$5$$ $$6$$ $$7$$ $$8$$ $$9$$ $$10$$ ${2}^{n}$ $$2$$ $$4$$ $$8$$ $$16$$ $$32$$ $$64$$ $$128$$ $$256$$ $$512$$ $$1024$$ ${3}^{n}$ $$3$$ $$9$$ $$27$$ $$81$$ $$243$$ $$729$$ - - - - ${5}^{n}$ $$5$$ $$25$$ $$125$$ $$625$$ - - - - - - ${7}^{n}$ $$7$$ $$49$$ $$343$$ - - - - - - -

Example:
Calculate ${7}^{2}-{2}^{5}$.

The first step is always exponentiation.

$\begin{array}{l}{7}^{2}=49;\\ {2}^{5}=32.\end{array}$

Substituting the found values, we obtain:

${7}^{2}-{2}^{5}=49-32=17$.
Consider examples of degrees with negative bases:
$\begin{array}{l}{\left(-3\right)}^{2}=\left(-3\right)\cdot \left(-3\right)=9;\\ {\left(-3\right)}^{3}=\left(-3\right)\cdot \left(-3\right)\cdot \left(-3\right)=-27;\\ {\left(-3\right)}^{4}=\left(-3\right)\cdot \left(-3\right)\cdot \left(-3\right)\cdot \left(-3\right)=81.\end{array}$

Important!
An even degree of a negative number is positive; an odd one is negative.