Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.
<h3>What is an exponent?</h3>
Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
The exponent expression is 2³ × 2⁻⁴ can be simplified.
Add the exponents and keep the same base. Then we have
2³ × 2⁻⁴ = 2⁽³⁻⁴⁾
2³ × 2⁻⁴ = 2⁻¹
Then find the reciprocal and change the sign of the exponent.
The value is 0.5.
More about the exponent link is given below.
brainly.com/question/5497425
Answer:
x=-25
Step-by-step explanation:
Inverse variation
xy =k
We know x and y
20*5 =k
100 =k
So the formula is
x y = 100
We know y = -4
x (-4) = 100
Divide each side by -4
-4x/-4 = 100/-4
x = -25
Answer: 
Step-by-step explanation:
To find the slope, you want to use the formula 
.
Now we know the slope is .
Answer:
45) 35.75 sq km
46) 24.5 sq km
Step-by-step explanation:
Area of Square:
A= 
45) A = (11)(6.5) ÷ 2 =
46) A = (10)(4.9) ÷ 2 =
Answer:
b. y ≤ x + 1 and y > x - 3
Explanation:
First of all, remember that a solid line means the inequality has a ≤ or ≥ sign, and a dotted line means the inequality has a < or > sign.
One way to solve this is to find a point inside the shaded region, like (0, 0) that you can test in the options to see which ones work. Another method is to figure out what the graph of each line is and then make sure the signs are turned the right direction so the shading is correct.
We know that the first inequality should have a greater/less than or equal to sign because the line is solid and the second inequality should just be a greater/less than sign because the line is dotted. That means it has to be B, because this is the only correct combination of signs.
But to be sure, you should check. Try (-1,0) and (0, 0)
y ≤ x + 1 and y > x - 3
0 ≤ -1 + 1 0 > - 1 - 3
0 ≤ 0 yes 0 > - 4 yes
0 ≤ 0 + 1 0 > 0 - 3
0 ≤ 1 yes 0 > -3 yes
