Question

Evaluate the expression (5x^2)^3/(10y)^4 for x=10 and y=5
A.15/128
B.60
C.5/256
D.20
Can someone show me how to do this please

Answer 1

(5(10)^2)^3/(10(5))^4 =Just plug in the corresponding x and y values
Then you have to do x squared before you multiply it by 5
(5(100))^3/(10(5))^4
Now solve for what is in the top parenthesis.
(500)^3/(10(5))^4
500^3=125000000
Now work on the denominator.
Do what is inside the parenthesis first
10*5=50
Now (50)^4=6250000
Now divide the numerator and the denominator.
125000000/6250000
Which equals 20
the answer is D

Answer 2

substitute x = 10 and y = 5
\[\frac{(5x^2)^3}{(10y)^4}\]
\[\frac{(5 \times 10^2)^3}{(10 \times 5)^4}\]
\[\frac{(5 \times 100)^3}{(50)^4}\]
\[\frac{500^3}{50^4}\]
that is a big number

Answer 3

thanks guys

Answer 4

2 years later ~woosh~

Answer 5

hahaha,arabpride you crack me up bro