Dinosaurs have been extinct for about 6.5 x 10^7 years, while Neanderthals have been extinct for about 3.0 x 10^4 years. About how many times longer have dinosaurs been extinct than Neanderthals?

Question

A.
1,000 times longer

B.
2,000 times longer

C.
10,000 times longer

D.
20,000 times longer

Answer 1

A. 1,000 times longer

To calculate, divide the number of years dinosaurs have been extinct (6.5 x 10^7 years) by the number of years Neanderthals have been extinct (3.0 x 10^4 years):

(6.5 x 10^7) / (3.0 x 10^4) = 2.17 x 10^3 = 1,000

Therefore, dinosaurs have been extinct about 1,000 times longer than Neanderthals.

Answer 2

Evaluate the expression:
(2^-2)^-2
A.
1/16
B.
2
C.
8
D.
16

Answer 3

B. 2

To evaluate the expression, start by simplifying the inner exponent first:

(2^-2)^-2
= (1/(2^2))^-2
= (1/4)^-2
= (1/(1/4)^2)
= (1/(1/16))
= 16

So, (2^-2)^-2 = 2.