Advertisements
Advertisements
Question
If 13824 = 2a × 3b then find a and b
Advertisements
Solution
If 13824 = 2a × 3b
Using the prime factorization tree
13824 = 29 × 33
Given 13824 = 2a × 3b
Compare we get a = 9 and b = 3
Aliter:
13824 = 29 × 33
Compare with
13824 = 2a × 3b
The value of a = 9 b = 3
APPEARS IN
RELATED QUESTIONS
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = Product of the two numbers.
26 and 91
For what value of natural number n, 4n can end with the digit 6?
If m, n are natural numbers, for what values of m, does 2n × 5m ends in 5?
Find the L.C.M. and H.C.F. of 408 and 170 by applying the fundamental theorem of Arithmetic
What is the smallest number that when divided by three numbers such as 35, 56 and 91 leaves remainder 7 in each case?
Find the least number that is divisible by the first ten natural numbers
For some integer p, every even integer is of the form ______.
Show that 12n cannot end with the digit 0 or 5 for any natural number n.
The mean of first ten natural numbers is ______.
The prime factorisation of the number 5488 is ______.
