Can someone help with this math problem?

2017-08-16 1:42 pm
The problem is 3(3/5) to the 2nd power. I got 27/25 or 1 2/25 but the answer key says the answer is 12 24/25. Can someone help?

回答 (5)

2017-08-16 1:50 pm
Method 1 :
[3 + (3/5)]²
= [(15/5) + (3/5)]²
= [18/5]²
= 18²/5²
= 324/25
= 12 + (24/25)


====
Method 2 :
[3 + (3/5)]²
= (3 + 0.6)²
= 3.6²
= 12.96
= 12 + (96/100)
= 12 + 24/25


====
Method 3 :
[3 + (3/5)]²
= 3² + 2*3*(3/5) + (3/5)²
= 9 + 18/5 + (9/25)
= 9 + [3 + (3/5)] + (9/25)
= 9 + 3 + (15/25) + (9/25)
= 12 + (24/25)
2017-08-16 1:57 pm
18^2/5^2 = 324/25
12 24/25
2017-08-16 2:18 pm
[3(3/5)]^2
= 81/25
= 3.24

[3 + (3/5)]^2
= (18/5)^2
= 324/25
= 12 + (24/25)
2017-08-16 2:17 pm
12 24/25 is the square of the mixed number 3 3/5.
I'm guessing it's 3 and 3/5 squared?

(3 + 3/5)^2
3^2 + 2 * 3 * (3/5) + (3/5)^2
9 + 6 * (3/5) + 9/25
9 + 18/5 + 9/25
9 + 15/5 + 3/5 + 9/25
9 + 3 + 15/25 + 9/25
12 + 24/25


收錄日期: 2021-05-01 21:49:06
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