mathalgebra
posted by Jaylin on .
How do i solve these problems:
1. 2(5y^3)^2+(3y^3)^3
2. Lemon juice is 10^2 times as acidic as tomato juice. Tomato juice is 10^3 times as acidic as egg whites. How many times as acidic is lemon juice as egg whites? Write as a monomial.
3. The seismic waves of a magnitude 6 earthquake are 10^2 times as great as a magnitude 4 earthquake. The seismic waves of a magnitude 4 earthquake are 10 times as great as a magnitude 3 earthquake. How many times as great are the seismic waves of a magnitude 6 earthquake as those of a magnitude 3 earthquake? Write a monomial.

These problems are all very similar and you have not tried them so I will do the third and you try the others
call magnitude 3 = q for quake
then mag 4 = 10^1 q
then mag 6 = 10^2 *10^1 q = 10^3 q = 1000 times the mag 3
M6 = 10^3 M3
in general by the way
Msub(n+1) = 10 Msub(n) 
In number 2
10^2*10^3 = 10^(2+3) = 10^5
to multiply, add exponents of same quantity
to raise to power, multiply exponents
remember:
x^2* x^3 = x^(2+3) = x^5
BUT
(x^2)^3 = x^(2*3) = x^6