Question

1. simplify to find out the number of calories the average person consumes during a party for the game.

\\(\frac{2^3 \times 3^2 \times 10^2}{3}\\)

Explanation:

Step1: Simplify the fraction with 3

First, we can simplify the \(3^2\) in the numerator and the 3 in the denominator. Recall that \(\frac{a^m}{a^n}=a^{m - n}\), so \(\frac{3^2}{3}=3^{2 - 1}=3^1 = 3\). Now the expression becomes \(2^3\times3\times10^2\).

Step2: Calculate the powers

Calculate \(2^3 = 8\) and \(10^2=100\). Now the expression is \(8\times3\times100\).

Step3: Multiply the numbers

First, multiply 8 and 3: \(8\times3 = 24\). Then multiply 24 by 100: \(24\times100 = 2400\).

Answer:

2400