The concept of radicals and radical exponents is tricky at first, but makes sense when we look into the logic behind it.
When we write a radical in exponential form, like writing √x as x^(1/2), we are simply putting the power of the radical in the denominator (bottom number) of the exponent, and the numerator is the power we raise the exponent to, or the power that would be inside the radical.
In our example, √x is really ²√(x¹), or the square root of x to the first power. For this reason, we write it as x^(1/2).
Let's say we wanted to write the cubed root of x squared, in exponential form.
In radical form, it would look like this:
³√(x²) . This means we square x, and then take the cubed root.
In exponential form, remember that we take the power of the radical (3), and make that the denominator of the exponent, and keep the numerator as the power that x is raised to (2).
Therefore, it would be x^(2/3), or x to the 2 thirds power.
Just like when multiplying by a fraction, you multiply by the numerator and divide by the denominator, in exponential form, you raise your base number to the power of the numerator, and take the root of the denominator.
Step-by-step explanation:
57,500,000,000 is in standard form
1/6
the die has six sides 1,2,3,4,5,6
to get 2, you have one chance from 6
you get
1/6
Answer:
73.12 cm
Step-by-step explanation:
The perimeter of the square is 3 sides of the square (the 4th side is not included because of the semicircle)
P square = 3 s
=3 (16)
=48 cm
The perimeter of the semicircle is 1/2 of the circumference of a circle
P semicircle = 1/2 (pi *d)
=1/2 (pi* 16)
= 8 pi
= 8 (3.14)
=25.12 cm
The total perimeter is the sum of the square and the circle
P total = P square + P semicircle
=48+25.12
=73.12 cm
