please answer the questions given.. Don't say you don't know or something like that..if you don't know then don't answer...
Answers
Step-by-step explanation:
1. Prime factorisation of 125×n
= 5×5×5×n
Pairing = (5×5) (5×n)
Hence, n = 5 for perfect square.
2. -3/2 - (-5/8)
= -3/2 + 5/8
= -12/8 + 5/8
= -7/8
3. The Value of [((6² + 8²)½)]³
= [(36 + 64)½]³
= [(100)½]³
= [(10)²×½]³
= [10]³
= 1000
4. Reciprocal of 0×7/11
= Reciprocal of 0
or
Reciprocal of 0/1
= 1/0
which is not defined.
5. (8-¹ - 9-¹) ÷ (4-¹ - 9-¹)
= (1/8 - 1/9) ÷ (1/4 - 1/9)
= (9/72 - 8/72) ÷ (9/36 - 4/36)
= 1/72 ÷ 5/36
= 1/72 × 36/5
= 1/10
6.
116 soldiers
7.
a(b - c) = ab - ac
= 1.6(-1/2 - 5/7) = 1.6×-1/2 - 1.6×5/7
= 1.6(-7/14 - 10/14) = -16/20 - 8/7
= 1.6(-17/14) = -4/5 - 8/7
= -68/35 = -28/35 - 40/35
= -68/35 = -68/35
L.H.S = R.H.S
Hence, Proved
8. 7×√7×7²×7⁵/² = 7³+a
= 7×√7×7²×√7²×⁵/² = 7³+a
= 7×√7×7²×√7⁵ = 7³+a
= 7×7²×√7⁶ = 7³+a
= 7×7²×7³ = 7³+a
= 7⁶ = 7³+a
= 6 = 3+a
a = 6-3
a = 3
9. √71-√44+√28-3
= √71-√44+√25
= √71-√44+5
= √71-√49
= √71-7
= √64
= 8
b) (√0.0625 + √0.0144)/(√6.25 - √1.44)
= (√625/10000 + √144/10000)/(√625/100 - √144/100)
= (25/100 + 12/100)/(25/10 + 12/10)
= (37/100)/(37/10)
= 1/10 or 0.1