What is ((8x^4)/(2x^6))^5 ?

The solution to ((8x^4)/(2x^6))^5 is (1024)/(x^{10)}

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simplify ((8x^4)/(2x^6))^5

simplify

(\frac{8 x ^{4}}{2 x ^{6}})^{5}

\frac{1024}{x ^{10}}

Solution steps

(\frac{8 x ^{4}}{2 x ^{6}})^{5}

Apply exponent rule:

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

= \frac{( 8 x ^{4} ) ^{5}}{( 2 x ^{6} ) ^{5}}

Simplify

(8 x^{4})^{5} : 32768 x^{20}

= \frac{32768 x ^{20}}{( 2 x ^{6} ) ^{5}}

Simplify

(2 x^{6})^{5} : 32 x^{30}

= \frac{32768 x ^{20}}{32 x ^{30}}

Divide the numbers:

\frac{32768}{32} = 1024

= \frac{1024 x ^{20}}{x ^{30}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{x ^{20}}{x ^{30}} = \frac{1}{x ^{30 - 20}}

= \frac{1024}{x ^{30 - 20}}

Subtract the numbers:

30 - 20 = 10

= \frac{1024}{x ^{10}}

\frac{1}{6} + \frac{3}{4}

4 - 23

\frac{3 - 2 i}{4 + 3 i}

2 x + 5 + 2 x + 3 x = 1 x + 6

10 d - 5 > 11 d - 2

What is ((8x^4)/(2x^6))^5 ?
The solution to ((8x^4)/(2x^6))^5 is (1024)/(x^{10)}