Answer:
256
Step-by-step explanation:
A calculator works well for this.
_____
None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.
1 to any power is still 1, so the factors (1^n) can be ignored.
After you ignore all of the things that can be ignored, your problem simplifies to ...
(2^2)(2^-3)^-2
The rules of exponents applicable to this are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
Then your product simplifies to ...
(2^2)(2^((-3)(-2)) = (2^2)(2^6)
= 2^(2+6)
= 2^8 = 256
Answer:
7ft 8in is left over
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
because the top and bottom lines are parallel, we can conclude that the 2 triangles (top and bottom) are similar triangles. This means the sides lengths of smaller triangle is proportional to the respective sides on the larger triangle. With this, we can form the following equation:
x/48 = 21/12 (multiply both sides by 48)
x = (21/12)· 48
x = 21 ·4
x = 84
To multiply mix numbers and a normal fractions you make the mix number into a improper fraction. To do that you multiply the bottom and add the top. Here are the answers:
1/2 x 5 1/2 = 2 3/4
3 3/4 x 1/2 = 1 7/8
1/2 x 3 1/3 = 1 1/6
3/4 x 3 1/6 = 3 1/8
2/1 x 1 1/7 = 2 2/3
