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In details
Don't spam

In details Don't spam-example-1
User Emaborsa
by
7.5k points

2 Answers

5 votes

Answer:

a = -4.

Explanation:

25(√5)^a * (√5) ^3 = 5√5

25*5^a/2 * 5^3/2 = 5*5^1/2

25*5^a/2 = 5*5^1/2 / 5^3/2

25*5^a/2 = 5^1 *5^1/2 / 5^3/2

25*5^a/2 = 5^3/2 / 5^3/2 = 1

5^a/2 = 1/25 = 5^-2

The bases are equal, so

a/2 = -2

a = -4.

User Nicolas Dorier
by
8.6k points
4 votes

Answer:


- 4

Explanation:


25 * { √(5) }^(a) * { √(5) }^(3) = 5 √(5)


{5}^(2) * { √(5) }^(a) * {5}^(3) = 5 √(5)

But


5 = { √(5) }^(2)

So,


{ √(5) }^(4) * { √(5) }^(a) * { √(5) }^(3) = { √(5) }^(3)

Eliminating |5,


4 + a + 3 = 3


a = - 4

User Ebsbk
by
9.1k points

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