Answer:
8x^8/3 y^4 - The first option
Step-by-step explanation:
The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.
This means that the expression is now:
8(x^2*4/3 y^3*4/3)
First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3
The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.
So now our expression is:
8(x^8/3 y^4)
Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:
8x^8/3 y^4 - The first option.
Hope this helped!
Answer:
A. 15π mi
Step-by-step explanation:
First find the circumference
C = 2*pi*r
C = 2 * pi*18
C = 36pi
The arc is 150 degrees
The fraction of the circle is
150/360 = 5/12
Multiply this by the circumference
5/12 * 36 pi
15 pi
Answer:
Step-by-step explanation:
24 is an hour
340 divided by 24 = 14 16/24 as our answer.
Answer:
75 degrees
Step-by-step explanation:
360/60=6 degrees per minute on a clock face
minute hand, from 12 o'clock position is 30 minutes so 30x6=180 degrees
hour hand, from 12 o'clock position is 17.5 minutes so 17.5x6=105 degrees
180-105=75 degrees
Answer:
254.34
Step-by-step explanation:
You first have to know the formula which is
You multiply 9 by 9 which gives you 81.
pi equals 3.14
so 3.14 × 81 = 254.34
