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Popular >

simplify (5b)^5(5b)^{-3}

Solution

simplify

(5 b)^{5} (5 b)^{- 3}

Solution

25 b^{2}

Solution steps

(5 b)^{5} (5 b)^{- 3}

Apply exponent rule:

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

(5 b)^{5} (5 b)^{- 3} = (5 b)^{5 - 3}

= (5 b)^{5 - 3}

Subtract the numbers:

5 - 3 = 2

= (5 b)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 b)^{2} = 5^{2} b^{2}

= 5^{2} b^{2}

5^{2} = 25

= 25 b^{2}

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Frequently Asked Questions (FAQ)

What is (5b)^5(5b)^{-3} ?
The solution to (5b)^5(5b)^{-3} is 25b^2