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5² x 4 x 5 x 4² / 5 (4)

I keep getting 400 but I know the answer is 6,400. What are the steps?

5² x 4 x 5 x 4² / 5 (4) I keep getting 400 but I know the answer is 6,400. What are-example-1
User Li Ho Yin
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5.1k points

1 Answer

4 votes

The final 4 is in the numerator, not the denominator.

5² × 4 × 5 × 4² / 5 (4)

= 25 × 4 × 5 × 16 / 5 × 4 . . . . . exponents are computed first

= 100 × 5 × 16 / 5 × 4 . . . . . . . multiplication and division left to right in order

= 500 × 16 / 5 × 4

= 8000 / 5 × 4

= 1600 × 4

= 6400

User Kevin Buchan
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5.9k points