How can I express the multiplication of 2 to the power of 3, three times, as a fraction?

The expression 2³ x 2³ x 2³ can be simplified before expressing it as a fraction. First, we need to understand that multiplying the same bases together allows us to add the exponents.

In this case, we have:

2³ x 2³ x 2³ = 2^{3 + 3 + 3} = 2⁹

Next, let’s express 2⁹ as a fraction. Any integer can be expressed as a fraction by placing it over 1. Therefore:

2⁹ = rac{2⁹}{1}

This means that the multiplication of 2³ x 2³ x 2³ as a fraction is:

rac{512}{1}

Since 2⁹ = 512, we can conclude that:

2³ x 2³ x 2³ as a fraction is rac{512}{1}

In summary, 2³ x 2³ x 2³ simplifies to 2⁹, which can be represented as the fraction rac{512}{1}.