Question

What is the value of b in the equation below?
5^6/5^2=a^b

3
4
5
8

Answer 1

Answer:

b=4

Step-by-step explanation:

subtract the exponents

6-2=4

Answer 2

The value of b is 4.

What is exponent ?

Exponent is a mathematical method to express large numbers in power form. It will describe how many times a number multiplied by itself.

Example : 7⁵ , where the number 7 multiplied 5 times by itself.

What is the required value of b ?

Given, 5⁶/5² = 5ᵇ

We know that, in exponent, if $a^{m}=a^{n}$, then m=n

Here, 5⁶/5² = 5ᵇ

         ⇒ $5^{6-2} =5^{b}$

         ⇒ $5^{4} =5^{b}$

∴ By the above rule, b = 4

Learn more about exponent here :

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