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Popular >

simplify (k^{2m+n})(k^{-2m-n})

Solution

simplify

(k^{2 m + n}) (k^{- 2 m - n})

Solution

1

Solution steps

(k^{2 m + n}) (k^{- 2 m - n})

Simplify

(k^{2 m + n}) (k^{- 2 m - n}) : k^{2 m + n} k^{- 2 m - n}

= k^{2 m + n} k^{- 2 m - n}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

k^{2 m + n} k^{- 2 m - n} = k^{2 m + n - 2 m - n}

= k^{2 m + n - 2 m - n}

2 m + n - 2 m - n = 0

= k^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

= 1

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Frequently Asked Questions (FAQ)

What is (k^{2m+n})(k^{-2m-n}) ?
The solution to (k^{2m+n})(k^{-2m-n}) is 1