Oh, what a happy little question! Let's break it down gently. We can express 140 as 2^2 * 5 * 7. See how those prime factors come together like a beautiful landscape painting? Just a few brushstrokes, and we've captured the essence of 140 in its most peaceful form.
22 x 33 = 108
As a product of its prime factors in exponents: 24*3*5 = 240
As a product of its prime factors: 2*3*3*5 = 90
169 = 132
2x5x5
22 x 33 = 108
It is: 2 times 5^2 = 50
24 x 33 = 144 This equals 432 not 144. It should be 3 squared, not 3 cubed.
As a product of its prime factors in exponents: 218 = 262144
As a product of its prime factors in exponents: 25*3*52 = 2400 Or as 2.4*103 in scientific notation
It is: 6.0*10^4 in scientific notation and as a product of its prime factors in exponents it is 25*3*54 = 60,000
It is: 24*112 = 1936
In scientific notation it is 9.65*10^2 and as a product of its prime factors it is 5*193 = 965
To find the product using exponential notation, first express each number in exponential form. For example, if you want to multiply ( a^m ) and ( a^n ), you can use the property of exponents that states ( a^m \times a^n = a^{m+n} ). Simply add the exponents together to get the result in exponential notation. For instance, ( 2^3 \times 2^4 = 2^{3+4} = 2^7 ).
As a product of its prime factors: 22*5*72 = 980 Or as: 9.8*102 in scientific notation
As a product of its prime factors in exponents it is: 3^3 times 11^2 = 3267
To write 5000 in exponential form, you first express it as a product of its prime factors. The prime factorization of 5000 is (5^4 \times 2^3). Therefore, in exponential form, it can be represented as (5^4 \times 2^3) or approximately (5 \times 10^3) if using scientific notation.