Mathematics: Which expression is equivalent to 12^6 / 2^6 a. 6^0 b. 1/6^6 c. 6^6 d. 6

Which expression is equivalent to 12^6 / 2^6 - id126266015317613, raekwon12

delaneymaufroy29

21.02.2022

c) 6^6

Step-by-step explanation:

$\dfrac{12^6}{2^6}$

factor $12^6 =(3 \cdot 4)^6= (3 \cdot 2^2)^6=3^6 \cdot 2^{12}$

$\implies \dfrac{12^6}{2^6}=\dfrac{3^6 \cdot 2^{12}}{2^6}$

Apply exponent rule $\frac{a^b}{a^c} =a^{b-c}$ :

$\implies \dfrac{3^6 \cdot 2^{12}}{2^6}=3^6 \cdot 2^6$

Apply exponent rule $(a^b \cdot c^b)=(ac)^b$ :

$\implies 3^6 \cdot 2^6=(3 \cdot 2)^6=6^6$

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icameforhelp

27.08.2020

$a + 95 \degree + 53\degree = 180\degree \\ a = 180\degree - (95 + 53)\degree \\ a = 32\degree$

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