Question

Timothy evaluated the expression using x = 3 and y = -4.

3^x-y

Analyze Timothy's steps. Is he correct? If not, why not?
a) Yes, he is correct
b) No, he needed to add the exponents when he simplified the powers of the same base.
c) No, he needed to multiply 3 and -1 instead of creating a positive exponent in a fraction.
d) No, his value of (-4) should be positive because an even exponent indicates a positive value.

Answer 1

Timothy is correct in his evaluation. The expression simplifies to 2187.

Step-by-step explanation:

Timothy evaluated the expression 3^x-y using x = 3 and y = -4. Let's analyze Timothy's steps:

Step 1: Substitute the values of x and y in the expression

3^3-(-4) = 3^3+4

Step 2: Simplify the powers of the same base

3^7 = 2187

Step 3: Write the final answer

The final answer is 2187.