Question

10. find the simplified form of the expression
(3 × 10^6)(8 × 10^–4)

Answer 1

(3*10^(6))(8*10^(-4))

Raising a number to the 6th power is the same as multiplying the number by itself 6 times. In this case, 10 raised to the 6th power is 1000000.
(3*1000000)(8*10^(-4))

Multiply 3 by 1000000 to get 3000000.
(3000000)(8*10^(-4))

Raising a number to the 4th power is the same as multiplying the number by itself 4 times. In this case, 10 raised to the 4th power is 10000.
(3000000)(8*(1)/(10000))

Cancel out all the common terms in the polynomial 8*(1)/(10000).
(3000000)(1*(1)/(1250))

Multiply 1 by (1)/(1250) to get (1)/(1250).
(3000000)((1)/(1250))

Multiply 3000000 by (1)/(1250) to get 2400.
(2400)