For x ≠ 0, which expressions are equivalent to one divided by the sixth root of x

To find which mathematical expression is equivalent to “one divided by the sixth root of x” Given that x ≠ 0

One divided by the sixth root of x can be written mathematically as 1 / (6√x)

6√x is mathematically same as x^1/6

Therefore, 1 / (6√x) = 1/ x^(1/6)

Mathematically, 1/x^y = x^(-y)

Therefore, 1/ x^(1/6) = x^(-1/6)

Therefore, the mathematical expression which is equivalent to “one divided by the sixth root of x” is x^(-1/6)

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.