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:
Slope <em>m</em> = -5/4
y-intercept <em>b</em> = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
[Standard Form] -5x - 4y = -12
<u>Step 2: Rewrite</u>
- Add 5x to both sides: -4y = 5x - 12
- Divide -4 on both sides: y = -5/4x + 3
<u>Step 3: Identify</u>
<em>Break apart the function.</em>
Slope <em>m</em> = -5/4
y-intercept <em>b</em> = 3
(-7/8) / (-1 2/5) = (-7/8) / (-7/5) = (-7/8) * (-5/7) = 5/8
Answer:
E
Step-by-step explanation:
