What is (((16x^a))/((64x^3)))^3 ?

The solution to (((16x^a))/((64x^3)))^3 is (x^{3a-9})/(64)

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simplify (((16x^a))/((64x^3)))^3

simplify

(\frac{( 16 x ^{a} )}{( 64 x ^{3} )})^{3}

\frac{x ^{3 a - 9}}{64}

Solution steps

(\frac{16 x ^{a}}{64 x ^{3}})^{3}

Apply exponent rule:

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

= \frac{( 16 x ^{a} ) ^{3}}{( 64 x ^{3} ) ^{3}}

Simplify

(16 x^{a})^{3} : 4096 x^{a \cdot 3}

= \frac{4096 x ^{a \cdot 3}}{( 64 x ^{3} ) ^{3}}

Simplify

(64 x^{3})^{3} : 262144 x^{9}

= \frac{4096 x ^{a \cdot 3}}{262144 x ^{9}}

Cancel the common factor:

4096

= \frac{x ^{3 a}}{64 x ^{9}}

Apply exponent rule:

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

\frac{x ^{3 a}}{x ^{9}} = x^{3 a - 9}

= \frac{x ^{3 a - 9}}{64}

\frac{1}{( d + 2 ) ( d + 1 ) ( e ^{e} ) ^{x}}

\frac{( ( a ^{2} \cdot b ) ^{3} )}{( ( a \cdot b ^{2} ) ^{2} )}

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\frac{( x - 1 )}{( x ^{2} - 1 )}

What is (((16x^a))/((64x^3)))^3 ?
The solution to (((16x^a))/((64x^3)))^3 is (x^{3a-9})/(64)