Question

analyze the students work below and find the mistake, then correct the work.
josh said that (7^4) is 28 because (7 \times 4 = 28). below explain the error in josh’s thinking, and then write
explanation:

correct answer:

Explanation:

Step1: Recall exponent definition

An exponent \(a^n\) means \(a\) multiplied by itself \(n\) times, not \(a\times n\). So \(7^4 = 7\times7\times7\times7\), not \(7\times4\).

Step2: Calculate \(7^4\)

First, \(7\times7 = 49\). Then, \(49\times7 = 343\). Then, \(343\times7 = 2401\).

Answer:

Josh confused exponentiation with multiplication. The correct value of \(7^4\) is \(2401\).