IMATech

31/03/2026

Hello everyone!

In this detailed video, we solve a beautiful (and tricky) exponent problem step by step:

Given:
A^(1/A) = B^(1/B) = C^(1/C)
A^(BC) + B^(AC) + C^(AB) = 729

Find the value of A^(1/A).

Is it 3? 9? 27? Something else? Watch to find out the clever trick using exponents and why the three terms are actually equal!

We use substitution (let k = A^(1/A) = B^(1/B) = C^(1/C)), raise to the power ABC, and simplify to reach the answer. Perfect for students preparing for SSC CGL, Banking, Railways, Olympiads, JEE, or anyone who loves algebra and exponent puzzles.

29/03/2026

√(√64 - √63) = (3√2 - √14)/2 ? ✅ Quick Simplification

28/03/2026

In this video, we simplify the complex exponent expression step by step:

We'll use exponent rules, difference of squares (a² - b² = (a-b)(a+b)), and power of power properties to simplify it neatly.

Perfect for Class 9-12 students preparing for board exams, JEE, or anyone who loves algebraic simplification tricks!

Watch till the end for the final simplified form and extra tips.
If you enjoy math shortcuts and clear explanations, like, share, and follow for more!

25/03/2026

https://youtu.be/XJCOXz3JzDs

In this detailed video, we solve the equation k² - k³ = 12 step by step.We start with smart Domain Analysis to prove that k must be negative. Then we convert...

24/03/2026

Can you solve it without finding x?

22/03/2026

Only 5% can solve this fast! 😱🔥

81^x = √(9 × √3)
What is x?
Watch this quick trick — express everything in base 3!
81 = 3^4
9 = 3^2
√3 = 3^(1/2)
So right side → √(3^2 × 3^(1/2)) = (3^(2 + 1/2))^(1/2) = 3^(5/4)
Left side → (3^4)^x = 3^(4x)
So 4x = 5/4 → x = 5/16
Mind blown? Drop 🔥 if you got it! Comment your answer before watching 👇
Tag a friend who loves math puzzles!

18/03/2026

Harvard University admission interview tricks

16/03/2026

Solve 3^(x-2)(3^x - 10) = -1 fast!

Quick exponential equation trick → x = 0 and x = 2

Let y = 3^x → turns into quadratic y² – 10y + 9 = 0 → easy factoring!

Full step-by-step in the video. Which solution surprised you? Comment below! 👇

Like, comment, share and follow for more quick math problems every day! 🧮

# maths

14/03/2026

Infinite Power Tower Explained

Learn how to solve the infinite tower expression.

without introducing extra variables! In this short, I’ll show you how the repeating structure lets us raise both sides to the power of 6 and directly find
𝑥 = 1 / 729.

A clean, beginner-friendly explanation for math lovers and students.