What is ((4^x16^{x+1}))/((4^{x-1)16^{x-1})} ?

The solution to ((4^x16^{x+1}))/((4^{x-1)16^{x-1})} is 1024

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simplify ((4^x16^{x+1}))/((4^{x-1)16^{x-1})}

simplify

\frac{( 4 ^{x} 1 6 ^{x + 1} )}{( 4 ^{x - 1} 1 6 ^{x - 1} )}

1024

Solution steps

\frac{4 ^{x} \cdot 1 6 ^{x + 1}}{4 ^{x - 1} \cdot 1 6 ^{x - 1}}

Simplify

4^{x - 1} \cdot 1 6^{x - 1} : 6 4^{x - 1}

= \frac{4 ^{x} \cdot 1 6 ^{x + 1}}{6 4 ^{x - 1}}

Factor

6 4^{x - 1} : 4^{3 (x - 1)}

= \frac{4 ^{x} \cdot 1 6 ^{x + 1}}{4 ^{3 (x - 1)}}

Simplify

\frac{4 ^{x}}{4 ^{3 (x - 1)}} : 4^{- 2 x + 3}

= 4^{- 2 x + 3} \cdot 1 6^{x + 1}

Simplify

4^{- 2 x + 3} \cdot 1 6^{x + 1} : 1024

= 1024

(45 x^{4} \cdot y^{17})^{\frac{1}{2}}

81 x^{2} + 36 x y + 4 y^{2}

4 \frac{y ^{4}}{t} 0.1

\frac{( 6 ^{n + 1} \cdot 3 ^{3 - n} \cdot 2 ^{1 - n} )}{( 4 \cdot 9 ^{3} )}

\frac{( x ^{2} - 4 x + 3 )}{( x ^{2} - 6 x + 9 )}

What is ((4^x16^{x+1}))/((4^{x-1)16^{x-1})} ?
The solution to ((4^x16^{x+1}))/((4^{x-1)16^{x-1})} is 1024