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

0.8 \cdot 9.8 \cdot 15

(3 + 4 i) - (6 - 3 i)

\frac{12 x y ^{2} + 20 x ^{2} yz - 10 y ^{2}}{10 y ^{2}}

(3 + 5 i) (2 - 7 i)

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