Calculate 5×5×5×2×2×2: Product of Repeated Multiplication

555222=? 5\cdot5\cdot5\cdot2\cdot2\cdot2=?

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Step-by-step video solution

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00:08 Let's solve the problem together!
00:11 First, we'll rearrange the equation to make it simpler.
00:16 Next, we'll tackle each multiplication step by step. Ready? Let's go!
00:27 Great job! We'll continue solving using the same steps.
00:32 And there you have it! That's our solution.

Step-by-step written solution

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1

Understand the problem

555222=? 5\cdot5\cdot5\cdot2\cdot2\cdot2=?

2

Step-by-step solution

We use the substitution property and organize the exercise in the following order:

5×2×5×2×5×2= 5\times2\times5\times2\times5\times2=

We place parentheses in the exercise:

(5×2)×(5×2)×(5×2)= (5\times2)\times(5\times2)\times(5\times2)=

We solve from left to right:

10×10×10= 10\times10\times10=

(10×10)×10= (10\times10)\times10=

100×10=1000 100\times10=1000

3

Final Answer

1000

Practice Quiz

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\( 74+32+6+4+4=\text{?} \)

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