How do you simplify $\frac{m^{- 10}}{m^{- 3}}$ $\frac { m ^ { - 10} } { m ^ { - 3} }$ ?

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How do you simplify $\frac{m^{- 10}}{m^{- 3}}$ $\frac { m ^ { - 10} } { m ^ { - 3} }$ ?

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Answer 1 · 2017-07-16T13:12:00

See a solution process below:

Explanation:

Use this rule of exponents to simplify this expression, including eliminating negative exponents:

$\frac{x^{a}}{x^{b}} = \frac{1}{x^{b - a}}$ $x^color(red)(a)/x^color(blue)(b) = 1/x^(color(blue)(b)-color(red)(a))$

$\frac{m^{- 10}}{m^{- 3}} = \frac{1}{m^{- 3 - - 10}} = \frac{1}{m^{- 3 + 10}} =$ $m^color(red)(-10)/m^color(blue)(-3) = 1/m^(color(blue)(-3)-color(red)(-10)) = 1/m^(color(blue)(-3)+color(red)(10)) =$

$\frac{1}{m^{7}}$ $1/m^7$

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How do you simplify $\frac{m^{- 10}}{m^{- 3}}$ $\frac { m ^ { - 10} } { m ^ { - 3} }$ ?

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Explanation:

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How do you simplify \frac { m ^ { - 10} } { m ^ { - 3} }m−10m−3\frac { m ^ { - 10} } { m ^ { - 3} }?

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How do you simplify $\frac{m^{- 10}}{m^{- 3}}$ $\frac { m ^ { - 10} } { m ^ { - 3} }$ ?