I appreciate the help. i take the class online and we get 70 problems a day to do.
sqrt = < sign
#46.
<-r^5/2 * <-2/r^3
#50
<-25a^3 - <-225a^3 + 20a<-a
To simplify the expressions in problem #46 and problem #50, we can use the properties of exponents and the rules of signed numbers. Let's break it down step by step:
#46:
The expression is:
(-r^5/2) * (-2/r^3)
1. Recall that when you multiply two negative numbers, the result is positive.
(-r^5/2) * (-2) = r^5/2 * 2
2. When you multiply two numbers with the same base, you can add the exponents.
r^5/2 * 2 = 2 * r^5/2
3. To simplify the expression further, we can rewrite r^5/2 as the square root of r^5.
2 * r^5/2 = 2 * sqrt(r^5)
Therefore, the simplified expression for problem #46 is 2 * sqrt(r^5).
#50:
The expression is:
(-25a^3) - (-225a^3) + 20a * (-a)
1. Recall that when you subtract a negative number, it is the same as adding a positive number.
(-25a^3) - (-225a^3) = -25a^3 + 225a^3
2. When you add or subtract numbers with the same base, you can combine their coefficients.
-25a^3 + 225a^3 = 200a^3
3. To simplify the remaining part of the expression, we need to multiply 20a and -a.
20a * (-a) = -20a^2
Therefore, the simplified expression for problem #50 is 200a^3 - 20a^2.
Remember, when solving problems like these, it's important to carefully apply the exponent rules and the rules of signed numbers to get the correct answer.