Question

2^ 14 :2^ 2 ;б)a^ 6 :a​

Answer 1

1.

$\frac{ {2}^{14} }{ {2}^{2} } = {2}^{14 - 2} = {2}^{12} = 4096$

2.

$\frac{ {a}^{6} }{a} = \frac{ {a}^{6} }{ {a}^{1} } = {a}^{6 - 1} = {a}^{5}$

Answer 2

It seems like you're asking about two different mathematical expressions: $2^{14} : 2^2$ and $a^6 : a$.

Let's solve each expression separately:

1. $2^{14} : 2^2$ When you divide two numbers with the same base (in this case, 2), you subtract the exponent in the denominator from the exponent in the numerator. So, $2^{14} : 2^2 = 2^{14 - 2} = 2^{12}$.

2. $a^6 : a$ When you divide two terms with the same base (in this case, $a$), you subtract the exponent in the denominator from the exponent in the numerator. So, $a^6 : a = a^{6 - 1} = a^5$.

Therefore, the simplified expressions are $2^{12}$ for the first one and $a^5$ for the second one.