Which expression would use the product rule, adding the exponents?(1 point)
3^3/3^3
3^3 + 3^3
3^3 ⋅ 3^3
(3^3)^3
The expression that would use the product rule, adding the exponents is: 3^3 ⋅ 3^3.
Which expression, when simplified, would leave you with a negative exponent?(1 point)
(-3)^2
3^3 - 3^4
3^5 ⋅ (-3)^2
3^3/3^7
The expression that, when simplified, would leave you with a negative exponent is: 3^3/3^7.
Which expression leaves you with the smallest number on the number line?
10^5 ⋅ 10^−4
(10^-2)^-2
10^8/10^8
10^8/10^10
The expression that leaves you with the smallest number on the number line is: (10^-2)^-2.
Graph the solution set for the inequality: −3x + 1 ≤ − 47 (1 point)
To graph the solution set for the inequality −3x + 1 ≤ −47, we can start by rewriting it in a standard form:
−3x + 1 + 47 ≤ 0
−3x + 48 ≤ 0
Next, we can solve for x:
−3x ≤ -48
x ≥ 16
To graph this solution set on a number line, we start at 16 and shade everything to the right since the inequality includes "greater than or equal to." The solution set represents all values of x that are greater than or equal to 16.
The graph would look like this:
-------------------●>
←----------------->
0 16
The filled-in circle at 16 represents that 16 itself is included in the solution set.