Question

Write each exponential form as a whole number. a. \(3^{0}\) b. \(9^{2}\) c. \(5^{4}\) d. \(2^{5}\) e. \(12^{2}\)

Short answer

Question: Simplify and provide the answers for the following exponential expressions: a. \(3^{0}\) b. \(9^{2}\) c. \(5^{4}\) d. \(2^{5}\) e. \(12^{2}\) Answer: a. \(3^{0} = 1\) b. \(9^{2} = 81\) c. \(5^{4} = 625\) d. \(2^{5} = 32\) e. \(12^{2} = 144\)

Step-by-step solution

a. \(3^{0}\)

Any non-zero number raised to the power of 0 is 1. So, \(3^{0} = 1\).

b. \(9^{2}\)

To find \(9^{2}\), we need to multiply 9 by itself 2 times: \(9 \times 9 = 81\). So, \(9^{2} = 81\).

c. \(5^{4}\)

To find \(5^{4}\), we need to multiply 5 by itself 4 times: \(5 \times 5 \times 5 \times 5 = 625\). So, \(5^{4} = 625\).

d. \(2^{5}\)

To find \(2^{5}\), we need to multiply 2 by itself 5 times: \(2 \times 2 \times 2 \times 2 \times 2 = 32\). So, \(2^{5} = 32\).

e. \(12^{2}\)

To find \(12^{2}\), we need to multiply 12 by itself 2 times: \(12 \times 12 = 144\). So, \(12^{2} = 144\).