Question
7. Tyler suggests that these two exponent expressions have the same value. Kyle claims that they cannot because they have different bases and exponent. Who is correct?
9 to the 2nd power = 3 to the 4th power.
a. Tyler
b. Kyle
9 to the 2nd power = 3 to the 4th power.
a. Tyler
b. Kyle
Answers
a. Tyler
the bot should have explained that answer
Tyler is correct. The two expressions have the same value because they both equal 81. When calculating exponential expressions, the base and exponent do not have to be the same. As long as the base is raised to the correct power, it can equal the same value as a different base raised to a different power. So, in this case, 9 to the 2nd power is equivalent to 81, and 3 to the 4th power is also equivalent to 81. Therefore, the two expressions have the same value, even though they have different bases and exponents.
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