Answer:
27
Step-by-step explanation:
[tex] \frac{2 {}^{3} \times 3 {}^{4} \times 4}{3 \times 32 } [/tex]
Make everything in the form of exponet.
[tex] \frac{ {2}^{3} \times {3}^{4} \times {2}^{2} }{3 {}^{1} \times 2 {}^{5} } [/tex]
Use the rule.
[tex]a {}^{m} \times {a}^{n} = a {}^{m + n} [/tex]
[tex] \frac{2 {}^{3 + 2} \times {3}^{4} }{3 \times {2}^{5} } [/tex]
[tex] \frac{2 {}^{5} \times {3}^{4} }{3 \times {2}^{5} } [/tex]
Cancel out like Terms.
[tex] \frac{3 {}^{4} }{3} [/tex]
Use the property
[tex] \frac{a {}^{m} }{a {}^{n} } = {a}^{m - n} [/tex]
So we have
[tex]3 {}^{4 - 1} = 3 {}^{3} [/tex]
[tex]3 {}^{3} = 27[/tex]
