What is ((16^{5/3})/(16^{5/6)})^{9/5} ?

The solution to ((16^{5/3})/(16^{5/6)})^{9/5} is 64

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simplify ((16^{5/3})/(16^{5/6)})^{9/5}

simplify

(\frac{1 6 ^{\frac{5}{3}}}{1 6 ^{\frac{5}{6}}})^{\frac{9}{5}}

64

Solution steps

(\frac{1 6 ^{\frac{5}{3}}}{1 6 ^{\frac{5}{6}}})^{\frac{9}{5}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 1 6 ^{\frac{5}{3}} ) ^{\frac{9}{5}}}{( 1 6 ^{\frac{5}{6}} ) ^{\frac{9}{5}}}

(1 6^{\frac{5}{3}})^{\frac{9}{5}} = 4096

= \frac{4096}{( 1 6 ^{\frac{5}{6}} ) ^{\frac{9}{5}}}

(1 6^{\frac{5}{6}})^{\frac{9}{5}} = 64

= \frac{4096}{64}

Divide the numbers:

\frac{4096}{64} = 64

= 64

- 5 (3 m - 4)

\frac{2 y}{y}

\frac{16 x ^{7} y ^{2}}{24 x ^{6} y}

(x + 1) (x + 3) (x + 5)

\frac{x ^{2} - x - 12}{x - 4}

What is ((16^{5/3})/(16^{5/6)})^{9/5} ?
The solution to ((16^{5/3})/(16^{5/6)})^{9/5} is 64