Calculate (4×7×3)²: Product of Three Numbers Squared

(4×7×3)2= (4\times7\times3)^2=

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1

Understand the problem

(4×7×3)2= (4\times7\times3)^2=

2

Step-by-step solution

We use the power law for multiplication within parentheses:

(xy)n=xnyn (x\cdot y)^n=x^n\cdot y^n

We apply it to the problem:

(473)2=427232 (4\cdot7\cdot3)^2=4^2\cdot7^2\cdot3^2

Therefore, the correct answer is option a.

Note:

From the formula of the power property mentioned above, we understand that we can apply it not only to the multiplication of two terms within parentheses, but is also for multiple terms within parentheses.

3

Final Answer

42×72×32 4^2\times7^2\times3^2

Practice Quiz

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Choose the expression(s) that corresponds to the following:

\( \left(5\times6\right)^9= \)

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