Solve (300 × 5/3 × 2/7)⁰: Understanding the Zero Power Rule

Question

(3005327)0=? (300\cdot\frac{5}{3}\cdot\frac{2}{7})^0=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 According to the laws of exponents, any number raised to the power of 0 equals 1
00:07 As long as the number is not 0
00:11 We will use this formula in our exercise
00:18 And this is the solution to the question

Step-by-Step Solution

Due to the fact that raising any number (except zero) to the power of zero will give the result 1:

X0=1 X^0=1 Let's examine the expression of the problem:

(3005327)0 (300\cdot\frac{5}{3}\cdot\frac{2}{7})^0 The expression inside of the parentheses is clearly not 0 (it can be calculated numerically and verified)

Therefore, the result of raising to the power of zero will give the result 1, that is:

(3005327)0=1 (300\cdot\frac{5}{3}\cdot\frac{2}{7})^0 =1 Therefore, the correct answer is option A.

Answer

1