What is ((2^{4x+4}))/((2^{x+1))} ?

The solution to ((2^{4x+4}))/((2^{x+1))} is 2^{3x+3}

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simplify ((2^{4x+4}))/((2^{x+1))}

simplify

\frac{( 2 ^{4 x + 4} )}{( 2 ^{x + 1} )}

2^{3 x + 3}

Solution steps

\frac{2 ^{4 x + 4}}{2 ^{x + 1}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 2^{4 x + 4 - x - 1}

Simplify

4 x + 4 - x - 1 : 3 x + 3

= 2^{3 x + 3}

i^{2021}

16 \frac{1}{2}

(- 1 + 9 i) + (- 3 + 3 i)

\frac{12}{48}

(- 2 x^{3})^{2}

What is ((2^{4x+4}))/((2^{x+1))} ?
The solution to ((2^{4x+4}))/((2^{x+1))} is 2^{3x+3}