3^√8= _____ since ______ x ______ x ____= 8 make the statement true

Answer 1

Let's solve the problem step by step.

We need to determine the value of \(3^{\sqrt[3]{8}}\).

First, find the cube root of 8:

The number 8 can be written as \(2 \times 2 \times 2 = 2^3\). Therefore, the cube root of 8 is:
\[ \sqrt[3]{8} = 2 \]

So we can rewrite the expression as:
\[ 3^{\sqrt[3]{8}} = 3^2 \]

Now calculate \(3^2\):
\[ 3^2 = 9 \]

Therefore, \(3^{\sqrt[3]{8}} = 9\).

So the complete statement is:
\[ 3^{\sqrt[3]{8}} = 9 \text{ since } 2 \times 2 \times 2 = 8 \text{ makes the statement true.} \]