30,000,000
10^3 X 10^(-7) = 10^(3-7) = 10^-4 = 1/10^4 = 1/10000 = 0.0001
10 to the 4 power times 10 to the 3 power is 10,000,000 (10 million).
3 times 10 to the first power = 30
5 to the 7th power
When you write (10 \times 10 \times 10) as (10^3), the exponent "3" indicates that the base (10) is multiplied by itself three times. The term "third power" refers to raising a number to the exponent of 3. Thus, the third power of 3 is calculated as (3^3 = 3 \times 3 \times 3 = 27).
3 times 10 to the 8th power divided by 7 times 10 to the negative 7th power equates to: 4.28571428571
10^3 X 10^(-7) = 10^(3-7) = 10^-4 = 1/10^4 = 1/10000 = 0.0001
10 to the 4 power times 10 to the 3 power is 10,000,000 (10 million).
3 times 10 to the first power = 30
5 to the 7th power
When you write (10 \times 10 \times 10) as (10^3), the exponent "3" indicates that the base (10) is multiplied by itself three times. The term "third power" refers to raising a number to the exponent of 3. Thus, the third power of 3 is calculated as (3^3 = 3 \times 3 \times 3 = 27).
3^(7) X 3^(3) = 3^(7 + 3) = 3^(10) The rules for For manipulating indices are . #1 ; The coefficient MUST always be the same '3' in the above case. #2 ; For Multiplication , you ADD the indices. #3 ; For Division you subtract the indices. #4 ; For 'nesting' you multiply the indices. Using the above data. Multiplication / Addition already done!!!! Division/subtraction 3^(10) divide 3^(3) = 3^(10 - 3) = 3^(7) 'Nesting' [ 3^(10) ] ^(3) = 3^(10 x 3) = 3^(30) These are algebraically expressed as a^(m) X a^(n) = a^(m+n) a^(m) / a^(n) = a^(m-n) [a^(m)]^(n) = a^(mn). NB Finally, you cannot do a^(m) X b^(n) is not equal to [ab]^(m+n). , because the coefficient 'a' & 'b' are different.
3,376
30,000,000
The value of ten to the power of 3, or (10^3), is calculated by multiplying 10 by itself three times: (10 \times 10 \times 10). This equals 1,000. Therefore, (10^3 = 1,000).
5.93 x 10^3
3.7 times 10 to the -3 power in standard notation is: 0.0037