How do you simplify the expression $\frac{4 a^{2} \cdot 5 a}{2 a}$ $(4a^2 * 5a)/(2a)$ ?

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How do you simplify the expression $\frac{4 a^{2} \cdot 5 a}{2 a}$ $(4a^2 * 5a)/(2a)$ ?

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Answer 1 · 2016-07-19T04:36:40

$10 a^{2}$ $10a^2$

Explanation:

First let's simplify the numerator. Multiply the coefficients and the variables. Remember that $a^{b} \cdot a^{c} = a^{b + c}$ $a^b * a^c = a^(b+c)$ .

$\frac{4 a^{2} \cdot 5 a}{2 a}$ $(4a^2*5a)/(2a)$

$\frac{(4 a^{2}) (5 a)}{2 a}$ $((4a^2)(5a))/(2a)$

$\frac{20 a^{3}}{2 a}$ $(20a^3)/(2a)$

Now we can simplify by dividing out factors from the top and bottom. Also note that $\frac{a^{b}}{a^{c}} = a^{b - c}$ $a^b/a^c = a^(b-c)$ .

$(10cancel(20)a^3)/(1cancel(2)a)$

$(10a^3)/a$

$10*a^(3-1)$

$10*a^2$

$10a^2$

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How do you simplify the expression $\frac{4 a^{2} \cdot 5 a}{2 a}$ $(4a^2 * 5a)/(2a)$ ?

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Explanation:

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How do you simplify the expression (4a^2 * 5a)/(2a)4a2⋅5a2a(4a^2 * 5a)/(2a)?

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How do you simplify the expression $\frac{4 a^{2} \cdot 5 a}{2 a}$ $(4a^2 * 5a)/(2a)$ ?