4 x 4 = 31 in base 5
The expression (5 \times 5 \times 5 \times 5) can be written as an exponential expression by using the base (5) and the exponent (4), since there are four factors of (5). Therefore, it can be expressed as (5^4).
To convert the number 210 from base 5 to base 10, you calculate it as follows: (2 \times 5^2 + 1 \times 5^1 + 0 \times 5^0). This equals (2 \times 25 + 1 \times 5 + 0 \times 1), which simplifies to (50 + 5 + 0 = 55). Therefore, 210 in base 5 is 55 in base 10.
You cannot. In base 5 you can only use the digits 0 to 4. So 5 to base 5 cannot exist.
To calculate (4 \times 4 \times 4 \times 4) in base 2, we first recognize that (4) is equal to (2^2). Therefore, (4 \times 4 \times 4 \times 4) can be expressed as ((2^2)^4), which simplifies to (2^{8}). In base 2, (2^8) is represented as (100000000).
The base in the expression (5^3) indicates the number that is being multiplied by itself. In this case, the base is 5, which means that 5 will be multiplied together three times: (5 \times 5 \times 5). The exponent, which is 3, tells us how many times to use the base in the multiplication. Thus, (5^3) equals 125.
The expression (5 \times 5 \times 5 \times 5) can be written as an exponential expression by using the base (5) and the exponent (4), since there are four factors of (5). Therefore, it can be expressed as (5^4).
To convert the number 210 from base 5 to base 10, you calculate it as follows: (2 \times 5^2 + 1 \times 5^1 + 0 \times 5^0). This equals (2 \times 25 + 1 \times 5 + 0 \times 1), which simplifies to (50 + 5 + 0 = 55). Therefore, 210 in base 5 is 55 in base 10.
5 to the 4th times 4 cubed.
The expression 4x4x4x4x4 can be written in index notation as 4^5, where the base is 4 and the exponent is 5. When you raise a number to an exponent, it means multiplying the base by itself the number of times indicated by the exponent. Therefore, 4^5 is equal to 1024.
You cannot. In base 5 you can only use the digits 0 to 4. So 5 to base 5 cannot exist.
To calculate (4 \times 4 \times 4 \times 4) in base 2, we first recognize that (4) is equal to (2^2). Therefore, (4 \times 4 \times 4 \times 4) can be expressed as ((2^2)^4), which simplifies to (2^{8}). In base 2, (2^8) is represented as (100000000).
The base in the expression (5^3) indicates the number that is being multiplied by itself. In this case, the base is 5, which means that 5 will be multiplied together three times: (5 \times 5 \times 5). The exponent, which is 3, tells us how many times to use the base in the multiplication. Thus, (5^3) equals 125.
To convert a number from base 5 to base 10, you multiply each digit by 5 raised to the power of its position from the right, starting at 0. In this case, for the number 43 base 5, you would calculate (4 * 5^1) + (3 * 5^0) = (4 * 5) + (3 * 1) = 20 + 3 = 23 base 10. Thus, 43 base 5 is equal to 23 base 10.
4x4x4=base 4 with the exponent 3 or 64
114
1 times 4 = 4. 4+1= 5
An expression of 4 as a factor 5 times can be written as (4 \times 4 \times 4 \times 4 \times 4) or simply (4^5). This represents multiplying 4 by itself four additional times, resulting in (1024).