I'm really confused on how to do a few questions. i am supposed to write the expression using exponents.
1. (2a)(2a)(2a)+(x+y)(x+y)
i am supposed to evaluate this one
1. 4(2+2)^3/(3+1)^2
thanks so much
To write the expression using exponents, you need to understand the power rule, which states that when multiplying the same base, you add the exponents.
1. (2a)(2a)(2a) can be written as (2a)^3 because you are multiplying the base "2a" three times.
Similarly, (x+y)(x+y) can be written as (x+y)^2 because you are multiplying the base "x+y" two times.
So the expression becomes:
(2a)^3 + (x+y)^2
To evaluate the expression 4(2+2)^3/(3+1)^2, you follow the order of operations (PEMDAS/BODMAS):
1. First, you simplify the expressions inside parentheses:
(2+2)^3 = 4^3 = 64
(3+1)^2 = 4^2 = 16
2. Then, you perform the exponentiation:
4^3 = 4 * 4 * 4 = 64
16^2 = 16 * 16 = 256
3. Next, you multiply and divide from left to right:
4 * 64 = 256
256 / 256 = 1
Therefore, the evaluated expression is 1.