Question

7³÷(-7) + 7³ + 4

Explanation:

Step1: Calculate \(7^3\)

\(7^3 = 7\times7\times7 = 343\)

Step2: Simplify \(7^3\div(-7)\)

Using the rule \(a^m\div a^n=a^{m - n}\) (here \(a = 7\), \(m = 3\), \(n = 1\)) and considering the negative sign: \(7^3\div(-7)=-7^{3 - 1}=-7^2=- 49\)

Step3: Substitute values and calculate

Substitute \(7^3 = 343\) and \(7^3\div(-7)=-49\) into the original expression:
\(-49 + 343+4\)
First, calculate \(-49+343 = 294\)
Then, calculate \(294 + 4=298\)

Answer:

\(298\)