1 Answer

Gmuhammad · Answer 1 · 2021-09-14T13:55:43+0000

Answer:

$(2x^3)^3=8\cdot x^(9)$

Explanation:

Properties of Exponents

The property called Power to a Power shows us how to simplify expressions of the type:

(x^n)^m=x^(n*m)

Similarily the property called Power of a product simplifies expressions like:

(x.y)^n=x^n.y^n

The company mentioned in the question uses the expression

(2x^3)^3

millimeters per second to calculate the maximum capacity of a photocell with an area of x^3 square millimeters.

First, use the power of a product property:

$(2x^3)^3=2^3\cdot (x^3)^3$

Now use the power to a power property:

$(2x^3)^3=2^3\cdot x^(3*3)$

Operate:

$\mathbf{(2x^3)^3=8\cdot x^(9)}$

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