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Alex17521 [72]
3 years ago
5

Simplify the following expression. 5^-5/2 * 5^9/2

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
8 0

Answer:

C. 25

Step-by-step explanation:

When the numbers with same base are multiplied, their powers add up

5^-5/2 * 5^9/2

5^(-5/2 + 9/2)

5^(4/2)

5^2

25

saw5 [17]3 years ago
6 0

When you multiply a base with an exponent by a base with an exponent, you add the exponents together. (But you can only combine the exponents when the bases are the same)

For example:

(x^3)y^2=x^3y^2  (can't combine the exponents because they have different bases of x and y)

x^1(x^2)=x^{(1+2)}=x^3

2^2(2^2)=2^{(2+2)}=2^4=16

5^{(\frac{-5}{2} )}*5^{(\frac{9}{2} )}=5^{(\frac{-5+9}{2} )}=5^{(\frac{4}{2} )}=5^2=25    Your answer is C

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