I hope this is correct now....
Write using positive exponents, and simplify if possible
(-3x)^-2
a)(1)/(6x^2)
b)(9)/(x^2)
c)(1)/(9x^2)
d) - (9)/(x^2)
My answer: c
Evaluate 4^-5
My answer is: (1)/(1024)
Both look OK!
Great job! Your answers for both questions are correct.
Let's go over how to arrive at each answer:
For the first question, we have (-3x)^-2. To write this using positive exponents, we can use the rule that says (a^b)^c = a^(b*c). Applying this rule, we get (-3x)^-2 = 1/((-3x)^2).
Next, we can simplify the expression within the parentheses: (-3x)^2 = (-3)^2 * x^2 = 9x^2.
So now we have 1/(9x^2), which matches answer choice c.
For the second question, we need to evaluate 4^-5. To do this, we can use the rule that says a^-b = 1/(a^b). Applying this rule, we get 4^-5 = 1/(4^5).
Now we can simplify 4^5: 4^5 = 4 * 4 * 4 * 4 * 4 = 1024.
So the final answer is 1/1024, which matches your answer choice (1)/(1024).
Well done on both questions! Keep up the good work!