5
6
0.4^3
Since 6 equals 2 times 3, this expression can be written as:(2x3)x(2x3)x3x3x2x23x3x3x3x2x2x2x2Notice that there are four 3's and four 2's being multiplied. This can be written in exponential notation as:3424, or 34x24In other words, 3 four times multiplied by 2 four times.
Five to the third power times 2 to the fourth.
729 can be expressed in exponential form with a base of 3 as (3^6). This is because (3^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 729).
The product can be expressed as abc.
The number 4096 can be expressed in exponential form as ( 2^{12} ). This is because 4096 is the result of multiplying 2 by itself 12 times (2 × 2 × 2 × ... × 2). Therefore, the exponential representation of 4096 is ( 2^{12} ).
It is: 2 times 5^2 = 50
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 ).
648 expressed as a product of its prime factors in index form is 2^3 times 3^4
4096 can be expressed in exponential form as (2^{12}). This is because 4096 is the result of multiplying 2 by itself 12 times (2 × 2 × 2 × ... × 2, a total of 12 times). Alternatively, it can also be represented as (4^{6}) since (4) is (2^2) and (4^{6} = (2^2)^{6} = 2^{12}).
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.
As a product of its prime factors in exponents it is: 3^3 times 11^2 = 3267