What is ((3x^4)(2x^5))/(54) ?

The solution to ((3x^4)(2x^5))/(54) is (x^9)/9

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simplify ((3x^4)(2x^5))/(54)

simplify

\frac{( 3 x ^{4} ) ( 2 x ^{5} )}{54}

\frac{x ^{9}}{9}

Solution steps

\frac{( 3 x ^{4} ) ( 2 x ^{5} )}{54}

Factor the number:

54 = 3 \cdot 18

= \frac{3 x ^{4} \cdot 2 x ^{5}}{3 \cdot 18}

Cancel the common factor:

3

= \frac{x ^{4} \cdot 2 x ^{5}}{18}

Factor the number:

18 = 2 \cdot 9

= \frac{x ^{4} \cdot 2 x ^{5}}{2 \cdot 9}

Cancel the common factor:

2

= \frac{x ^{4} x ^{5}}{9}

Simplify

x^{4} x^{5} : x^{9}

= \frac{x ^{9}}{9}

(6 m^{5} + 1) + (2 m^{5} + 9 m - 1)

- 218

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