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Otrada [13]
3 years ago
14

What is the value of b in the equation below?

Mathematics
2 answers:
jarptica [38.1K]3 years ago
8 0

when dividing subtract the powers

 so  you would do 6-2 = 4

 so b = 4

SVETLANKA909090 [29]3 years ago
4 0

Answer:

The value of b is 4.

Step-by-step explanation:

The given equation is

\frac{5^6}{5^2}=a^b

According to the property of exponent,

\frac{x^a}{x^b}=x^{a-b}

Using this property of exponent, the given equation can be written as

5^{6-2}=a^b

5^{4}=a^b

On comparing both the sides, we get

a=5,b=4

Therefore the value of b is 4.

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