Question

I need the answer step by step pls asap

Answer 1

Answer: 3^3

(2^3 x 3^4 x 4)/(3 x 32)
= (2^3 x 3^4 x 2^2)/(2^5 x 3)
= 3^4/3
= 3^3

Answer 2

27

Explanation:

`\frac{2 {}^(3) * 3 {}^(4) * 4}{3 * 32 }`

Make everything in the form of exponet.

`\frac{ {2}^(3) * {3}^(4) * {2}^(2) }{3 {}^(1) * 2 {}^(5) }`

Use the rule.

`a {}^(m) * {a}^(n) = a {}^(m + n)`

`\frac{2 {}^(3 + 2) * {3}^(4) }{3 * {2}^(5) }`

`\frac{2 {}^(5) * {3}^(4) }{3 * {2}^(5) }`

Cancel out like Terms.

`\frac{3 {}^(4) }{3}`

Use the property

`\frac{a {}^(m) }{a {}^(n) } = {a}^(m - n)`

So we have

`3 {}^(4 - 1) = 3 {}^(3)`

`3 {}^(3) = 27`