Which equation finds the volume of a cube with a side length of 2 n Superscript 6 units?
(2 n Superscript 6 Baseline) cubed = 8 n Superscript 18 cubic units
(2 n Superscript 6 Baseline) cubed = 2 n Superscript 18 cubic units
2 (n Superscript 6 Baseline) cubed = 2 n Superscript 18 cubic units
2 (n Superscript 6 Baseline) cubed = 6 n Superscript 18 cubic units
v = (2n^6)^3 = 2^3 n^18 = 8n^18
The correct equation that finds the volume of a cube with a side length of 2^n^6 units is:
(2^n^6) cubed = 8n^18 cubic units
The correct equation that finds the volume of a cube with a side length of 2⁶ units is:
(2⁶)³ = 8(2¹⁸) cubic units
To explain how we arrived at this answer, let's break it down step by step:
1. The formula to find the volume of a cube is V = s³, where V represents the volume and s represents the length of a side.
2. In this case, the side length of the cube is 2⁶ (which means 2 raised to the power of 6, or 2 multiplied by itself 6 times).
3. Substitute the given value for the side length into the volume equation: V = (2⁶)³.
4. Simplify the equation by performing the exponentiation: V = 2³ × ⁶³. This results in 8 × 2¹⁸.
5. Simplify further: V = 8(2¹⁸). This means 8 multiplied by 2 raised to the power of 18.
Thus, the correct equation that finds the volume of a cube with a side length of 2⁶ units is (2⁶)³ = 8(2¹⁸) cubic units.