Solve (5/9 x x^4n^3/4)^4 x(1 4/5x^3/2)^4 - ScanMath

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Type your math problem... (5/9 x x^4n^3/4)^4 x(1 4/5x^3/2)^4

Question

Simplify the expression

\frac{x ^{33} n ^{12}}{4096}

Evaluate

(\frac{5}{9} x \times x^{4} \times \frac{n ^{3}}{4})^{4} x (1 \frac{4}{5} \times \frac{x ^{3}}{2})^{4}

Multiply

More Steps

(\frac{5 x ^{5} n ^{3}}{36})^{4} x (1 \frac{4}{5} \times \frac{x ^{3}}{2})^{4}

Covert the mixed number to an improper fraction

More Steps

(\frac{5 x ^{5} n ^{3}}{36})^{4} x (\frac{9}{5} \times \frac{x ^{3}}{2})^{4}

Multiply the terms

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(\frac{5 x ^{5} n ^{3}}{36})^{4} x (\frac{9 x ^{3}}{10})^{4}

Evaluate the power

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\frac{625 x ^{20} n ^{12}}{3 6 ^{4}} \times x (\frac{9 x ^{3}}{10})^{4}

Evaluate the power

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\frac{625 x ^{20} n ^{12}}{3 6 ^{4}} \times x \times \frac{6561 x ^{12}}{10000}

Multiply the terms

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\frac{625 x ^{21} n ^{12}}{3 6 ^{4}} \times \frac{6561 x ^{12}}{10000}

Cancel out the common factor 625

\frac{x ^{21} n ^{12}}{3 6 ^{4}} \times \frac{6561 x ^{12}}{16}

Rewrite the expression

More Steps

\frac{x ^{21} n ^{12}}{9 ^{4} \times 4 ^{4}} \times \frac{6561 x ^{12}}{16}

Rewrite the expression

\frac{x ^{21} n ^{12}}{9 ^{4} \times 4 ^{4}} \times \frac{3 ^{8} x ^{12}}{16}

Cancel out the common factor 3^{8}

\frac{x ^{21} n ^{12}}{4 ^{4}} \times \frac{x ^{12}}{16}

Multiply the terms

\frac{x ^{21} n ^{12} x ^{12}}{4 ^{4} \times 16}

Multiply the terms

More Steps

\frac{x ^{33} n ^{12}}{4 ^{4} \times 16}

Multiply the terms

More Steps

\frac{x ^{33} n ^{12}}{4 ^{6}}

Solution

\frac{x ^{33} n ^{12}}{4096}

Show Solution