Respuesta :

Answer:

10x/5x to the third power is 8

Solution:

Given that the statement is 10x/5x to the third power

The statement 10x/5x to the third power can be written as

[tex](\frac{10x}{5x})^3[/tex]

Lets first simplify [tex]\frac{10x}{5x}[/tex] by removing common elements from numerator and denominator

We get,

[tex]\frac{10 x}{5 x}=\frac{2 \times 5 \times x}{5 \times x}=2[/tex]

On taking cube on both sides,

[tex](\frac{10x}{5x})^3 = 2^3[/tex]

[tex]2^3 = 2 \times 2 \times 2[/tex]

[tex]2^3 = 8[/tex]

Hence third power of 10x/5x is 8.