How do you multiply and simplify $\frac{10 a^{3} \cdot 10 a^{0}}{2 a^{0}}$ $\frac { 10a ^ { 3} \cdot 10a ^ { 0} } { 2a ^ { 0} }$ ?

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How do you multiply and simplify $\frac{10 a^{3} \cdot 10 a^{0}}{2 a^{0}}$ $\frac { 10a ^ { 3} \cdot 10a ^ { 0} } { 2a ^ { 0} }$ ?

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Answer 1 · 2017-06-03T03:30:34

$50 a^{2}$ $50a^2$

Explanation:

Note that $a^{0} = 1$ $a^0=1$
(This is because when $x^{a + b} = x^{a} x^{b}$ $x^(a+b)=x^ax^b$ we want this law to still be satisfied when we extend to the case $b = 0$ $b=0$ , we need to have $x^{a} = x^{a} x^{0}$ $x^a=x^ax^0$ , and therefore we need to have $x^{0} = 1$ $x^0=1$ )

Soooo

$\frac{10 a^{3} \cdot 10 a^{0}}{2 a^{0}}$ $(10a^3 *10a^0)/(2a^0)$
$= \frac{10 a^{3} \cdot 10}{2}$ $=(10a^3 *10)/(2)$
$= 10 a^{3} \cdot 5$ $=10a^3 *5$
$= 50 a^{3}$ $=50a^3$

Answer 2 · 2017-06-03T03:48:17

$50 a^{3}$ $50a^3$

Explanation:

Anything to the power zero means one. That is say $a^{0} = 1$ $a^0 = 1$

Now $\frac{10 a^{3} \cdot 10 a^{0}}{2 a^{0}} = \frac{10 a^{3} \cdot 10 \cdot 1}{2 \cdot 1}$ $[10a^3*10a^0]/[2a^0] = [10a^3*10*1]/[2*1]$

$\Rightarrow 10 \cdot 5 \cdot a^{3} = 50 a^{3}$ $rArr 10*5*a^3 = 50a^3$

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How do you multiply and simplify $\frac{10 a^{3} \cdot 10 a^{0}}{2 a^{0}}$ $\frac { 10a ^ { 3} \cdot 10a ^ { 0} } { 2a ^ { 0} }$ ?

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