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Scientists estimate that the moon originated about 460 crore years ago. Writing the age of Moon in scientific notation gives 4.6×10k years, then what will be the value of k?

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Important Questions on Exponents and Powers

HARD
Find the largest value of ab such that the positive integers a, b>1 satisfy abba+ab+ba=5329.
EASY
What is the sum of exponents of prime factors in the prime factorization of 98?
MEDIUM
The number of digits in the decimal expansion of 165516 is
EASY

Write the following as exponents of its prime factors.

1200

EASY
Express 10000 as a product of prime factors.
EASY

Write the following in exponential form.

y×y×z×z×z×m×m
HARD

Match the columns in the following:

Column A Column B
(a) 1 crore (p) 1000 thousands
(b) 10 crore (q) 100 lakhs
(c) 10 lakhs (r) 1000 lakhs
(d) 100 crore (s) 10000 lakh

 

MEDIUM
The value of ab-ba, if a=3 and b=7 is _____.
MEDIUM

Write the following in exponential form.

5×5×2×a×a×a

MEDIUM

Write the following in exponential form.

m×m×m×m×m

EASY

If the following expression can be written as 9ymzn, find the value of (m-n).

9×y×y×y×y×z×z×z

EASY
दशमलव में तीन स्थानों वाली सबसे छोटी संभव संख्या है ?