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
Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
length=(x-8) cm
width=(x-8) cm
height=4 cm
thus the volume will be:
V=length*width*height
V=4×(x-8)×(x-8)=144
x²-16x+64=36
this can be simplified to form a quadratic equation given by:
x²-16x+28=0
solving the quadratic equation we get:
x=2 or x=14
Thus we conclude that the original dimensions was:
length=14 cm ; width=14 cm
The are of the triangle will be 12.5 units.
On marking the given vertices (0,0), (0,5), (5,5) of the triangle we get, the base of the triangle = 5 units and height of the triangle = 5 units.
Now, we know area of triangle =
Answer:
5.4 m
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the various lengths is ...
cd² = ac² +ad²
cd² = (2.4 m)² + (1.8 m)² = 9.00 m²
cd = √(9.00 m²) = 3.0 m
Since cd = cb and ab = ac+cb, we have ...
ab = 2.4 m + 3.0 m = 5.4 m
_____
You may recognize this as a 3-4-5 right triangle with a scale factor of 0.6. We are asked for the sum of the lengths of the "4" and "5" legs, which is ...
0.6·(4+5) = 5.4
The answer is 5/7. That is the answer :)
