<h3>
Answer: 64</h3>
Explanation:
If there are n = 6 items in the set, then there are 2^n = 2^6 = 64 subsets
This is because there are 2 choices per slot. Either the item is in the subset or not. Since we have 6 slots, and 2 choices per slot, we have (2*2*2)*(2*2*2) = 2^6 = 64 different combos.
Side note: The empty set is included as one of the subsets. Also, the original set itself is a subset.
Any number from -10 to -∞ would be correct. One example is -79.
1.
20= 2(x-4)
20/2= 2(x-4)/2
10= x-4
+4 . +4
14=x
Answer:
For the first question, the answer is 216 and the equation would become just 6^3
For the second, the answer is 9.
Step-by-step explanation:
When there is a negative exponent, that monomial is brought up to the top of the fraction, (the numerator) so 1/6^-3 becomes 1(6^3)/1, or simplified, just 6^3 since divided by one is the same number and times one is the same number. 6 x 6 x 6 is 216.
When there is a negative exponent outside the equation in a <u>fraction,</u> you need to take the reciprocal of the fraction. Since it's squared, it will always be positive, so we can ignore the negative sign. 3/1 (or just 3) to the power of 2 is 9. (3 x 3 is 9).
When explained throughly this might be found confusing, but it's a very easy concept to get after a while.
Find the highest multiple of 9 in 35 this would be 27, you have 3 with a remainder of 8/9 left
3 8/9
