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.
The number 223 in base 5 represents a value in the base-5 numeral system. To convert it to decimal (base 10), you calculate (2 \times 5^2 + 2 \times 5^1 + 3 \times 5^0), which equals (2 \times 25 + 2 \times 5 + 3 \times 1 = 50 + 10 + 3 = 63). Therefore, 223 in base 5 is equivalent to 63 in decimal.
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 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.
The number 223 in base 5 represents a value in the base-5 numeral system. To convert it to decimal (base 10), you calculate (2 \times 5^2 + 2 \times 5^1 + 3 \times 5^0), which equals (2 \times 25 + 2 \times 5 + 3 \times 1 = 50 + 10 + 3 = 63). Therefore, 223 in base 5 is equivalent to 63 in decimal.
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).
Okay - 43 in base five to base ten... The number 3 is easy - that stays the same. The number 4 is '5x4' which is 20. Add that to the 3 and you get 23. In base five - starting from the digit farthest right, every digit to the left, is five times the previous one.
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.
4x4x4=base 4 with the exponent 3 or 64
114
The area of any triangle is (1/2) times (length of base) times (height). We think you can probably handle it from there.