What is 1 2 to the power of 3 as a fraction?

When we talk about a number raised to the power of another number, it means that we multiply the number by itself as many times as indicated by the exponent. In this case, we have 1/2 raised to the power of 3.

To raise a fraction to a power, we simply raise both the numerator and denominator to that power. So, in this case, we need to raise both the numerator and denominator of 1/2 to the power of 3.

The numerator of 1/2 is 1, so we raise it to the power of 3, which gives us 1*1*1 = 1. The denominator of 1/2 is 2, so we raise it to the power of 3, which gives us 2*2*2 = 8.

Therefore, 1/2 raised to the power of 3 is equal to 1/8. So, the fraction representation of 1/2 to the power of 3 is 1/8.

How to do a fraction to the power of 3?

The process of raising a fraction to the power of 3 is relatively straightforward. First, you need to understand the basic principles of exponents and fractions.

Next, start by writing the fraction in its simplified form. For example, if we have the fraction 2/3, we leave it as it is because it is already in simplified form. However, if we have a fraction like 6/9, we simplify it to 2/3.

Then, to raise the fraction to the power of 3, you simply need to raise both the numerator and denominator to the power of 3 separately. For instance, if we want to raise the fraction 2/3 to the power of 3, we would have (2^3)/(3^3), which simplifies to 8/27.

It's important to note that when raising a fraction to a power, it is crucial to raise both the numerator and denominator to the indicated power. This ensures that both parts of the fraction are being raised and maintain their relationship to each other.

What is 1 3 to the second power as a fraction?

1 3 to the second power refers to the mathematical operation of raising the fraction 1/3 to the power of 2. In other words, we need to multiply the fraction 1/3 by itself. To understand this better, let's break it down step by step.

To raise a fraction to a power, we multiply the numerator and denominator of the fraction by itself according to the power we want to raise it to. In this case, we want to raise 1/3 to the power of 2. Therefore, we would multiply the numerator (1) by itself, and the denominator (3) by itself.

When we multiply 1 by itself, we get 1. Similarly, when we multiply 3 by itself, we get 9. So the result of raising 1/3 to the second power is 1/9.

Therefore, 1 3 to the second power as a fraction is 1/9.

What is one half to the third power in fraction form?

When we say "one half to the third power," we mean multiplying the fraction one half by itself three times. In other words, it is (1/2) * (1/2) * (1/2). To calculate this, we just need to multiply the numerators and multiply the denominators.

Let's start by multiplying the numerators: 1 * 1 * 1. This gives us 1.

Now, let's multiply the denominators: 2 * 2 * 2. This gives us 8.

Therefore, one half to the third power is equal to 1/8 in fraction form.

What is the fraction 1 2 to the power of 2?

A fraction is a mathematical expression that represents a part of a whole. In this case, the fraction 1/2 represents one half. To the power of 2 means multiplying the fraction by itself.

So, when we raise the fraction 1/2 to the power of 2, we are essentially multiplying the fraction by itself:

1/2 * 1/2 = 1/4

The result of raising the fraction 1/2 to the power of 2 is 1/4. This means that when we multiply one half by itself, the outcome is one fourth.

It's important to note that raising a fraction to the power of 2 is the same as squaring the fraction.

Squaring a fraction simply means multiplying it by itself:

(1/2)^2 = 1/4

So, the fraction 1/2 raised to the power of 2 or squared is equal to 1/4.