Buffyyour study buddyHi! Ask me about exponents, the laws of exponents, negative powers, or writing numbers in standard form.
Buffy is an AI helper and can be wrong — always check your NCERT textbook.
Exponents are shorthand for repeated multiplication — and a handful of simple laws let you add, subtract and multiply them instead of doing all the work. They also tame the giants and the tiny: write 384,000,000 as 3.84 × 10⁸. Tap each idea to see how it works.
Play with it
Exponents come with their own short rules. Tap each one to see what it means and a quick example you can check.
Learn
Worked example. Simplify (2³ × 2⁴) ÷ 2⁵.
1. Top: 2³ × 2⁴ = 2³⁺⁴ = 2⁷ (product law).
2. Now divide: 2⁷ ÷ 2⁵ = 2⁷⁻⁵ = 2² (quotient law).
3. 2² = 4.
Worked example. Write 0.00056 in standard form.
1. Move the decimal point right until one non-zero digit sits before it: 0.00056 → 5.6.
2. Count the moves — 4 places to the right — so the power of 10 is −4.
3. 0.00056 = 5.6 × 10⁻⁴.
Where you'll meet it
Distances to stars and the sizes of cells are absurd to write in full. Standard form keeps them readable: the Sun is about 1.5 × 10¹¹ m away, a red blood cell about 7 × 10⁻⁶ m across.
Memory is built on powers of 2: 2¹⁰ = 1024 bytes make a kilobyte, and a megabyte is 2²⁰ bytes. Doubling, again and again, is just adding to an exponent.
A budget of ₹25,00,00,000 or a population of 1.4 × 10⁹ is far easier to compare in standard form. Powers of 10 let you line up "how many zeros" at a glance.
Check yourself
Modelled on the competency-based pattern — MCQ, assertion–reason and a case study, testing whether you can use the ideas, not just recall them.
Interactive built to the OpenMAIC approach (THU-MAIC, MIT). Content from the NCERT Class 8 Ganita Prakash textbook (ncert.nic.in).
Buffyyour study buddyBuffy is an AI helper and can be wrong — always check your NCERT textbook.