Question 12 of 20 :
select the best answer for the question.
12. using the order of operations rule, solve the following: 12+2 +4 -2 3 = ?
jes
a.4
o b.24
c.36
o d.o
mark for review (will be highlighted on the review page)

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Ответ:

hannahliebl2000

10.01.2020

Mathematics

$\large\boxed{\left(\dfrac{16a^8}{c^{12}}\right)^\frac{1}{4}=\dfrac{2a^2}{c^3}}$

Step-by-step explanation:

$\left(\dfrac{16a^8}{c^{12}}\right)^\frac{1}{4}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (a^n)^m=a^{nm}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{(2^4a^8)^\frac{1}{4}}{(c^{12})^\frac{1}{4}}=\dfrac{(2^4)^\frac{1}{4}(a^8)^\frac{1}{4}}{c^{12\cdot\frac{1}{4}}}=\dfrac{2^{4\cdot\frac{1}{4}}\cdot a^{8\cdot\frac{1}{4}}}{c^3}=\dfrac{2^1\cdot a^2}{c^3}=\dfrac{2a^2}{c^3}$

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Question 12 of 20 : select the best answer for the question. 12. using the order of operations rule, solve the following: 12+2 +4 -2 3 = ? jes a.4 o b.24 c.36 o d.o mark for review (will be highlighted on the review page)