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Solve using exponential laws-
(5^3)^2 x (25)^2 divided by 5^7

Solve using exponential laws- (5^3)^2 x (25)^2 divided by 5^7-example-1
User Hyojung
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1 Answer

5 votes

Hello!

Answer:


\Large \boxed{\sf 5^3 = 125}

Explanation:

We have these formulas:


\sf (x^a)^b = x^{a * b


\sf x^a * x^b = x^{a+b


\sf x^a / x^b = x^{a-b

Applicate the formulas:


\sf (5^(3) )^(2) * (25)^2 / 5^7\\\\= 5^(3 *2) * (5^2)^2 / 5^7\\\\= 5^6 * 5^(2*2) / 5^7\\\\= 5^6 * 5^4 / 5^7\\\\= 5^(6+4) / 5^7\\\\= 5^(10) / 5^7\\\\= 5^(10-7)\\\\\boxed{\sf = 5^3}\\\\\boxed{\sf = 125}

User Michael Gunter
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