What is (((3a^7)(2a^5)))/((24a^{15))} ?

The solution to (((3a^7)(2a^5)))/((24a^{15))} is 1/(4a^3)

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simplify (((3a^7)(2a^5)))/((24a^{15))}

simplify

\frac{( ( 3 a ^{7} ) ( 2 a ^{5} ) )}{( 24 a ^{15} )}

\frac{1}{4 a ^{3}}

Solution steps

\frac{( 3 a ^{7} ) ( 2 a ^{5} )}{24 a ^{15}}

Factor the number:

24 = 3 \cdot 8

= \frac{3 a ^{7} \cdot 2 a ^{5}}{3 \cdot 8 a ^{15}}

Cancel the common factor:

3

= \frac{a ^{7} \cdot 2 a ^{5}}{8 a ^{15}}

Factor the number:

8 = 2 \cdot 4

= \frac{a ^{7} \cdot 2 a ^{5}}{2 \cdot 4 a ^{15}}

Cancel the common factor:

2

= \frac{a ^{7} a ^{5}}{4 a ^{15}}

Simplify

\frac{a ^{7}}{a ^{15}} : \frac{1}{a ^{8}}

= \frac{a ^{5}}{4 a ^{8}}

Simplify

\frac{a ^{5}}{a ^{8}} : \frac{1}{a ^{3}}

= \frac{1}{4 a ^{3}}

(d) - 4. 2^{n} - \frac{( - 1 )}{4} \cdot n^{2} - \frac{1}{5} \cdot n + \frac{1}{8}

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

(- 5 a)^{3}

x^{2} - (3 + 1) \cdot x + 3

\frac{6 - 1 x ^{0} + 6}{6}

What is (((3a^7)(2a^5)))/((24a^{15))} ?
The solution to (((3a^7)(2a^5)))/((24a^{15))} is 1/(4a^3)