Question

By what number should 6³ be divided to get 3⁴

Answer 1

let the number be x
$\frac{ {6}^{3} }{x} = { 3}^{4} \\ \frac{ {6}^{3} }{ {3}^{4} } = x \\ \frac{ {3}^{3} \times {2}^{3} }{ {3}^{4} } = x \\ \frac{ {2}^{3} }{3} = x \\ x = \frac{8}{3}$

Answer 2

Step-by-step explanation:

let the number be x

\begin{gathered} \frac{ {6}^{3} }{x} = { 3}^{4} \\ \frac{ {6}^{3} }{ {3}^{4} } = x \\ \frac{ {3}^{3} \times {2}^{3} }{ {3}^{4} } = x \\ \frac{ {2}^{3} }{3} = x \\ x = \frac{8}{3} \end{gathered}

x

6

3

=3

4

3

4

6

3

=x

3

4

3

3

×2

3

=x

3

2

3

=x

x=

3

8