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Anit [1.1K]
3 years ago
11

Please help I’m a bit confused on this I appreciate answers!

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

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

Step-by-step explanation:

<u>Properties of Exponents</u>

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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