Mathematics: Which equation finds the volume of a cube with a side length of 6n^6 units? a. (2n^6)^3 = 8n^16 cubic units b. (2n^6)^3 = 2n^18 cubic units c. 2(n^6)^3 = 2n^18 cubic units d. 2(n^6)^3 = 6n^18 cubic units

In this order...80%, 95%, 33 1/3%, 15%...

Which equation finds the volume of a cube with a

Lamr

01.01.2022

Option A is correct that is $(2n^6)^3=8n^{18}$ cubic units

Step-by-step explanation:

We are given with length of the side of the cube = $2n^6\:units$

We need to find volume of the cube.

We know that Volume of cube = ( side )³

= (2n^6)^3

= 2^3(n^6)^3

we use the law of exponent, $(x^a)^b=x^{ab}$

= $8n^{6\times3}$

= $8n^{18}$ cubic units

Therefore, Option A is correct that is $(2n^6)^3=8n^{18}$ cubic units

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