When you multiply by ten to a power, move the decimal point to the right by the number of places of the power.
3.6 x 10 ^4 move decimal 4 places to right
= 36000
YES!!! 10^(2) X 10^(4) = 10^(2 + 4) = 10^(6) Rules for indices, #1 ; the coefficient MUST be the same in both numbers. #2 ; for multiplication you ADD the indices #3 ; for division you subtract the indices #4 ; for 'nesting' you multiply the indices., Using your figures '- #1 is satisfied as the coefficient is the same , at '10', in both terms. #2 as per the question multiplication 10^(2) X 10^(4) = 10^(2+4) = 10^(6) #3 If dividing 10^(2) / 10^(4) = 10^(2 - 4) = 10^(-2) - 1/10^(2) = 1/100 #4 if 'nesting' (10^(2))^(4) = 10^(2 x 4) = 10^(8) = 100,000,000 Similarly 2^(3) X 2^( 6) = 2^(3 + 6) = 2^(9) However, 2^(3) X 3^(2) cannot be done as the coefficients are different.
47,470
45,300
24,000
30,000
23000
2.1x1010 (30,000 x 700,000)
37.7
100 times less
50,600 10 to the fourth power = 10000 10 to the second power = 100 5 x 10,000 = 50,000 6 x 100 = 600
10 to the tenth power is 10,000,000,000. When you multiply this by 0.57, you get 5,700,000,000. Therefore, ( 10^{10} \times 0.57 = 5.7 \times 10^9 ).
4.526*10-4 = 0.0004526