Answer
Verified
420.9k+ views
Hint: First solve this in prime factorization method and then convert into prime factors of exponential form.
Starting with the first prime number we can write $270$as
$270 = 2 \times 135$
Then converting $135$ into the factors of next prime number $3$we have
$270 = 2 \times 3 \times 45$
Again converting $45$into the prime factors of $3$ we have
$270 = 2 \times 3 \times 3 \times 15$
Now at last converting $15$into the prime factors of $3$and $5$ we have
$270 = 2 \times 3 \times 3 \times 3 \times 5$
Finally, converting them into exponential form we have
\[270 = {2^1} \times {3^3} \times {5^1}\]
Thus, the product of prime factors in the exponential form of \[270\]is \[{2^1} \times {3^3} \times{5^1}\]
Note: In this type of problems first write prime factors of lower prime numbers and then to higher
prime numbers.
Starting with the first prime number we can write $270$as
$270 = 2 \times 135$
Then converting $135$ into the factors of next prime number $3$we have
$270 = 2 \times 3 \times 45$
Again converting $45$into the prime factors of $3$ we have
$270 = 2 \times 3 \times 3 \times 15$
Now at last converting $15$into the prime factors of $3$and $5$ we have
$270 = 2 \times 3 \times 3 \times 3 \times 5$
Finally, converting them into exponential form we have
\[270 = {2^1} \times {3^3} \times {5^1}\]
Thus, the product of prime factors in the exponential form of \[270\]is \[{2^1} \times {3^3} \times{5^1}\]
Note: In this type of problems first write prime factors of lower prime numbers and then to higher
prime numbers.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Identify the state of Brazil which does not have coastline class 9 social science CBSE
What are the factors influencing the distribution of class 8 social science CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Can anyone list 10 advantages and disadvantages of friction
Difference between mass and weight class 10 physics CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
What organs are located on the left side of your body class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE