Frank is investigating the numerical value of 2x · 2y when x and y are both integers. He makes the following two claims.
Claim 1: When x and y are both negative integers, the value of 2x · 2y is always a non–whole number. For example, 2–1 · 2–1 = 0.25 and 2–5 · 2–1 = 0.015625.
Claim 2: When only one of x or y is a negative integer, the value of 2x · 2y is always a non–whole number. For example, 22 · 2–3 = 0.5 and 2–5 · 21 = 0.0625.
Which statement correctly classifies Frank's claims?
Frank is correct in both Claim 1 and Claim 2 as both pairs of examples prove the given claims.
Frank is correct in both Claim 1 and Claim 2 as both pairs of examples prove the given claims.
Frank is incorrect in both Claim 1 and Claim 2 since both pairs of examples are not sufficient to prove the given claims.
Frank is incorrect in both Claim 1 and Claim 2 since both pairs of examples are not sufficient to prove the given claims.
Frank is correct in Claim 1 but is incorrect in Claim 2 as the value of 2x · 2y can be a whole number when only one of x or y is negative.
Frank is correct in Claim 1 but is incorrect in Claim 2 as the value of 2 x · 2 y can be a whole number when only one of x or y is negative.
Frank is incorrect in Claim 1 since the value of 2x · 2y is sometimes a whole number when x and y are both negative but is correct in Claim 2.
