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

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

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve this problem together.
00:11 Remember, any number raised to the power of zero equals one.
00:16 This is true as long as the number itself is not zero.
00:20 Now, let's use this rule to solve our exercise.
00:26 And there you have it. That's our solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

2

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.

3

Final Answer

1

Practice Quiz

Test your knowledge with interactive questions

Which of the following is equivalent to \( 100^0 \)?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Powers - special cases questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations