Any value raised to the power 'zero'(0) equals '1'.
Hence
2^(0) = 1
10 ^(0) = 1
Hence
2^(0) X 10^(0) = 1 x 1 = 1 the answer.
To find the base 10 representation of the binary number 1100110, first convert it to decimal. The binary number 1100110 equals (1 \times 2^6 + 1 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0), which calculates to (64 + 32 + 0 + 0 + 4 + 2 + 0 = 102). Now, raising this to the power of two, (102^2) equals 10,404.
The binary number 01110 in base 10 can be calculated by multiplying each digit by 2 raised to the power of its position, starting from the right (position 0). This gives: (0 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0), which simplifies to (0 + 8 + 4 + 2 + 0 = 14). Therefore, 01110 in base 10 is 14.
The binary number 1010 is equal to the decimal number 10. This is calculated by taking each digit in the binary number, multiplying it by 2 raised to the power of its position (from right to left, starting at 0). Therefore, (1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 = 8 + 0 + 2 + 0 = 10).
0 to the power of 2 is 0, because to times 0 equals 0.
The binary number 01010 can be converted to decimal base 10 by evaluating it as follows: (0 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0). This simplifies to (0 + 8 + 0 + 2 + 0), which equals 10. Therefore, the decimal base 10 value of 01010 is 10.
To find the base 10 representation of the binary number 1100110, first convert it to decimal. The binary number 1100110 equals (1 \times 2^6 + 1 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0), which calculates to (64 + 32 + 0 + 0 + 4 + 2 + 0 = 102). Now, raising this to the power of two, (102^2) equals 10,404.
The binary number 01110 in base 10 can be calculated by multiplying each digit by 2 raised to the power of its position, starting from the right (position 0). This gives: (0 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0), which simplifies to (0 + 8 + 4 + 2 + 0 = 14). Therefore, 01110 in base 10 is 14.
20,000,000,000,000,000,000,000
The binary number 1000 is equal to the base 10 number 8. This is calculated by taking the binary digits from right to left, where each digit represents a power of 2: (1 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 0 \times 2^0 = 8 + 0 + 0 + 0 = 8).
The binary number 1010 is equal to the decimal number 10. This is calculated by taking each digit in the binary number, multiplying it by 2 raised to the power of its position (from right to left, starting at 0). Therefore, (1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 = 8 + 0 + 2 + 0 = 10).
The binary number 10000001 represents the value of 129 in base 10. This is calculated by taking each digit of the binary number, multiplying it by 2 raised to the power of its position (from right to left, starting at 0). Specifically, (1 \times 2^7 + 0 \times 2^6 + 0 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 128 + 1 = 129).
0 to the power of 2 is 0, because to times 0 equals 0.
2 times 10 to the 3rd power = 2,000
The population of the world in 1968, 3,559,028,982, can be expressed in expanded form using exponents as (3 \times 10^9 + 5 \times 10^8 + 5 \times 10^7 + 9 \times 10^6 + 0 \times 10^5 + 2 \times 10^4 + 8 \times 10^3 + 9 \times 10^2 + 8 \times 10^1 + 2 \times 10^0). In this expression, the term (0 \times 10^5) represents the absence of a value in the hundred-thousands place, which is the power of 10 that is not represented.
To write the number 100102200 in expanded form, you break it down according to the value of each digit. It can be expressed as: (1 \times 10^8 + 0 \times 10^7 + 0 \times 10^6 + 1 \times 10^5 + 0 \times 10^4 + 2 \times 10^3 + 2 \times 10^2 + 0 \times 10^1 + 0 \times 10^0). Simplifying this, it becomes (100000000 + 0 + 0 + 100000 + 0 + 2000 + 200 + 0 + 0), which equals (100000000 + 100000 + 2000 + 200).
0.68 times 10 to the power of 2 is 68
The number 81.402 can be expressed in expanded form using powers of 10 as follows: (8 \times 10^1 + 1 \times 10^0 + 4 \times 10^{-1} + 0 \times 10^{-2} + 2 \times 10^{-3}). This breaks down each digit according to its place value in the decimal system.