What is ((2^{a+3}-2^{a+1}))/((3*2^a)) ?

The solution to ((2^{a+3}-2^{a+1}))/((3*2^a)) is 2

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simplify ((2^{a+3}-2^{a+1}))/((3*2^a))

simplify

\frac{( 2 ^{a + 3} - 2 ^{a + 1} )}{( 3 \cdot 2 ^{a} )}

2

Solution steps

\frac{2 ^{a + 3} - 2 ^{a + 1}}{3 \cdot 2 ^{a}}

Factor

2^{a + 3} - 2^{a + 1} : 2^{a + 1} \cdot 3

= \frac{2 ^{a + 1} \cdot 3}{3 \cdot 2 ^{a}}

Cancel the common factor:

3

= \frac{2 ^{a + 1}}{2 ^{a}}

Simplify

\frac{2 ^{a + 1}}{2 ^{a}} : 2

= 2

3 sin (a) - 4 sin^{3} (a)

(5 a + b) 2

m^{4} + 4

(a^{0})^{2}

- 8 x^{3} + 12 x^{2} + 1 - 6 x

What is ((2^{a+3}-2^{a+1}))/((3*2^a)) ?
The solution to ((2^{a+3}-2^{a+1}))/((3*2^a)) is 2