How do you simplify $a^{2} \times a$ $a^2 times a$ ?

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How do you simplify $a^{2} \times a$ $a^2 times a$ ?

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Answer 1 · 2017-03-28T21:44:41

$a^{3}$ $a^3$

Explanation:

The laws for solving exponents needs to be known.

When you are multplying and the bases are the same, you add the exponents. When dividing, you subtract.

$\Rightarrow x^{5} \cdot x^{3} = x^{5 + 3} = x^{8}$ $rArrx^5*x^3=x^(5+3)=x^8$

$\Rightarrow \frac{x^{5}}{x^{3}} = x^{5 - 3} = x^{2}$ $rArrx^5/x^3=x^(5-3)=x^2$

So for your question,

$\Rightarrow a^{2} \cdot a$ $rArra^2*a$

$\Rightarrow a^{2} \cdot a^{1}$ $rArra^2*a^1$

$\Rightarrow a^{2 + 1}$ $rArra^(2+1)$

$\Rightarrow a^{3}$ $rArra^3$

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