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
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.
To determine who is correct, let's compare the two exponent expressions:
9 to the 2nd power = 9^2 = 9 * 9 = 81
3 to the 4th power = 3^4 = 3 * 3 * 3 * 3 = 81
By evaluating the two expressions, we can see that both of them are equal to 81, which means Tyler is correct. Despite having different bases (9 and 3) and exponents (2 and 4), the two exponent expressions have the same value.