Which is equivalent to the expression (a squared + a to the fourth power) to the 0 power?
a)0
b)1
c)a to the 6 power
d)a to the eigth power
I got answer a by adding 2 and 4 and multiplying it by 0. Is this right?
No, the method you used to arrive at your answer is incorrect. To find the equivalent expression, we need to understand that any number (except 0) raised to the power of 0 is always equal to 1. Therefore, the correct answer is b) 1.
To explain how we arrived at this answer, we can apply the rule for exponentiation: a^0 = 1. In the given expression, (a^2 + a^4)^0, both a^2 and a^4 are being raised to the power of 0. Applying the rule, we get (1 + 1)^0, which simplifies to 2^0. Again, using the rule, 2^0 is equal to 1.
Therefore, the correct equivalent expression is 1, not 0.