How do you simplify and write $(3.89)^-5 * (3.89)^6$ with positive exponents?

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Answer 1 · 2018-06-15T12:23:41

See a solution process below:

Use this rule of exponents: $x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))$

Substitute $3.89$ for $x$ giving:

$(3.89)^color(red)(-5) xx (3.89)^color(blue)(6) => 3.89^(color(red)(-5) + color(blue)(6)) => 3.89^1$

If necessary, we can further simplify the expression using this rule of exponents:

$a^color(red)(1) = a$

$3.89^color(red)(1) = 3.89$

How do you simplify and write (3.89)^-5 * (3.89)^6(3.89)^-5 * (3.89)^6 with positive exponents?