Final answer:
In response to the Cold War, the United States and the Soviet Union both bolstered their space programs, accumulated more sophisticated weaponry, and increased investments in science and education to gain a competitive advantage.
Step-by-step explanation:
The United States and the Soviet Union both responded to the Cold War through various strategies. They strengthened their space exploration programs, including the United States' Apollo missions and the Soviet Union's Sputnik and Vostok programs, which has a significant role in the space race. They built more effective weapons, as both superpowers accelerated their nuclear arms race, creating stockpiles of nuclear warheads and developing intercontinental ballistic missiles (ICBMs). Lastly, they invested in science and education, recognizing the importance of technological superiority and the value of a workforce well-versed in science and engineering to gain a competitive edge in military and space technology.