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In scientific notation, what is the product of 5.78 x 10^5 and 8.04 x 10^-2

Sagot :

The given numbers are

5.78 x 10^5 and 8.04 x 10^-2​

We would simplify the exponents by applying one of the laws of exponents which states that

a^b x a^c = a^(b + c)

By applying this law, the expression becomes

5.78 x 8.04 x 10^(5 + - 2)

46.4712 x 10^(5 - 2)

46.4712 x 10^3

The product in scientific notation is

46.4712 x 10^3