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

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

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Answer 1 · 2018-06-15T12:23:41

See a solution process below:

Explanation:

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

Substitute $3.89$ $3.89$ for $x$ $x$ giving:

${(3.89)}^{- 5} \times {(3.89)}^{6} \Rightarrow {3.89}^{- 5 + 6} \Rightarrow {3.89}^{1}$ $(3.89)^color(red)(-5) xx (3.89)^color(blue)(6) => 3.89^(color(red)(-5) + color(blue)(6)) => 3.89^1$

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

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

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

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

1 Answer

Explanation:

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

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