Solve (3/8×4)^-2: Negative Exponent Expression Challenge

Insert the corresponding expression:
(38×4)−2= \left(\frac{3}{8\times4}\right)^{-2}=

❤️ 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
00:00 Simplify the following problem
00:03 According to the laws of exponents, a fraction raised to a power (N)
00:08 equals the numerator and denominator raised to the same power (N)
00:12 We will apply this formula to our exercise
00:22 According to the laws of exponents when a product is raised to the power (N)
00:27 it is equal ti each factor in the product separately raised to the same power (N)
00:31 We will apply this formula to our exercise
00:36 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Insert the corresponding expression:
(38×4)−2= \left(\frac{3}{8\times4}\right)^{-2}=

3

Final Answer

3−28−2×4−2 \frac{3^{-2}}{8^{-2}\times4^{-2}}

Practice Quiz

Test your knowledge with interactive questions

\( (4^3)^2= \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Exponents Rules 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

Powers of a Fraction

Solve (4/63)^(-3): Negative Exponent with Complex Fraction
Click to solve
Solve (3×6)/5 Raised to the Negative Fourth Power: Complete Solution
Click to solve