How do you simplify and write $(2.34times10^-8)(5.7times10^-4)$ in standard form?

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Answer 1 · 2017-09-26T23:20:38

Scientific notation: $13.338xx10^(-12)$

Standard form: $0.00000000001338$

Refer to the explanation for the process.

$(2.34xx10^(-8))(5.7xx10^(-4))$

Remove the parentheses.

$2.34xx10^(-8)xx5.7xx10^(-4)$

Multiply the coefficients.

$13.338xx10^(-8)xx10^(-4)$

Apply product rule of exponents: $a^ma^n=a^(m+n)$ .

$13.338xx10^((-8+(-4)))$

Simplify.

$13.338xx10^(-12)$

Standard Form: move the decimal to the left 12 places.

$0.00000000001338$

How do you simplify and write (2.34times10^-8)(5.7times10^-4)(2.34times10^-8)(5.7times10^-4) in standard form?