Answer:
2/45
Step-by-step explanation:
0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: . Multiplying the two fractions results in 4/90 which can be simplified to 2/45.
Answer:
Step-by-step explanation:
We'll take this step by step. The equation is
Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time. First thing is to subtract 8 from both sides:
The goal is to isolate the term with the x in it, so that means that the -3 has to go. Divide it away on both sides:
Let's rewrite that radical into exponential form:
If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:
On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely. On the right, let's rewrite that back in radical form to solve it easier:
Let's group that radicad into groups of 3's now to make the simplifying easier:
because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:
which is the same as:
Answer:
The power for the volume of the cube is '3'.
Exponent form of the volume is
Volume of the cube is inch³.
Step-by-step explanation:
We are given,
A cube with side equal to inches.
As we know,
Volume of a cube =
Thus, we get,
Volume of the given cube is,
Volume =
i.e. Volume = inch³
Thus, we have,
The power for the volume of the cube is '3'.
Exponent form of the volume is
Volume of the cube is inch³.