Question

10. A company manufactures photo cells. It uses the expression

Answer 1

Answer:

8x^9

Step-by-step explanation:

(2x^3)(2x^3)(2x^3)

8x^9

Answer 2

the expression $(2x^3)^3$ millimeters per second , after simplification we get $8x^9$

Given

The company uses the expression $(2x^3)^3$ millimeters per second to calculate the maximum capacity with area $x^3$

Lets apply the property of exponents to simplify the expression  $(2x^3)^3$

We apply power property of exponents.

If we have exponent inside and outside the parenthesis then we multiply it

we distribute outside exponent inside the parenthesis

$(a^nb^m)^k=a^{nk}b^{mk}$

In the given expression , 2 has exponent 1

$(2x^3)^3\\(2^1x^3)^3\\2^{1\cdot 3}x^{3 \cdot 3}\\2^3x^9\\8x^9$

The simplified expression after applying the property is $8x^9$

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