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frozen [14]
3 years ago
9

In details Don't spam

Mathematics
2 answers:
Scrat [10]3 years ago
7 0

Answer:

a = -4.

Step-by-step 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.

uranmaximum [27]3 years ago
4 0

Answer:

- 4

Step-by-step explanation:

25 \times  { \sqrt{5} }^{a}  \times  { \sqrt{5} }^{3}  = 5 \sqrt{5}

{5}^{2}  \times  { \sqrt{5} }^{a}  \times  {5}^{3}  = 5 \sqrt{5}

But

5 =  { \sqrt{5} }^{2}

So,

{ \sqrt{5} }^{4}  \times  { \sqrt{5} }^{a}  \times  { \sqrt{5} }^{3}  =  { \sqrt{5} }^{3}

Eliminating |5,

4 + a + 3 = 3

a =  - 4

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