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Popular >

simplify a^b*a^{-b}

Solution

simplify

a^{b} \cdot a^{- b}

Solution

1

Solution steps

a^{b} a^{- b}

Apply exponent rule:

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

a^{b} a^{- b} = a^{b - b}

= a^{b - b}

Add similar elements:

b - b = 0

= a^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

= 1

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Frequently Asked Questions (FAQ)

What is a^b*a^{-b} ?
The solution to a^b*a^{-b} is 1