Answer:
Step-by-step explanation:
a.18/-3 = (-6)
b. -5/-1 = 5
c. 24/-6 = (-4)
d. -10/-1 = 10
e. -25/5 =(-5)
f. 8/-2 = (-4)
In multiplication and division, if there are are odd number of negative signs, the result will have negative sign.
If there are even number of negative signs, the the result will have positive sign
Answer:
1 
Step-by-step explanation:
Note there is a common ratio between consecutive terms, that is
10 ÷ 20 = 5 ÷ 10 = 2 
÷ 5 =
Thus to obtain the next term in the sequence multiply the previous term by
2 × = 1
Answer:
6^-4 ÷ 3^-4
6^-4/3^-4
Since their powers are negative
Flip them both so the negative index is lost.
It now becomes
3^4/6^4
81/1296
=1/16
Answer:
8
Step-by-step explanation:
Two different approaches:
<u>Method 1</u>
Apply radical rule √(ab) = √a√b to simplify the radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, (√98 - √50)² = (7√2 - 5√2)²
= (2√2)²
= 4 x 2
= 8
<u>Method 2</u>
Use the perfect square formula: (a - b)² = a² - 2ab + b²
where a = √98 and b = √50
So (√98 - √50)² = (√98)² - 2√98√50 + (√50)²
= 98 - 2√98√50 + 50
= 148 - 2√98√50
Apply radical rule √(ab) = √a√b to simplify radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, 148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)
= 148 - 140
= 8
