How do you write the verbal expression for $3^{3}$ $3^3$ ?

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How do you write the verbal expression for $3^{3}$ $3^3$ ?

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Answer 1 · 2016-05-01T13:47:42

"Three cubed" or "Three raised to the third power"

Explanation:

The analog of a square in different dimensions is:

$0$ $0$ - a point

$1$ $1$ - a line segment

$2$ $2$ - a square

$3$ $3$ - a cube

The measure (length, area, volume, etc.) of these analogs for an $n$ $n$ -dimensional shape of side $a$ $a$ is:

$0$ $0$ dimensions (point): $a^{0} = 1$ $a^0 = 1$ - one object (points only have count, no dimension).

$1$ $1$ dimension (line segment): $a^{1} = a$ $a^1 = a$ - length $a$ $a$

$2$ $2$ dimensions (square) $a^{2}$ $a^2$ - area $a$ $a$ squared

$3$ $3$ dimensions (cube) $a^{3}$ $a^3$ - volume $a$ $a$ cubed.

So in our example $3^{3} = 3 \times 3 \times 3 = 27$ $3^3 = 3xx3xx3 = 27$ is the volume of a cube of side $3$ $3$ .

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How do you write the verbal expression for $3^{3}$ $3^3$ ?

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