Question

What is the value of b in the equation (y Superscript negative 9 Baseline) Superscript b Baseline = y Superscript 45? –405 –5 5 405

Answer 1

Explanation:

Answer 2

The value of b is -5

The value of b in the given equation
`(y^(-9))^b=y^(45)` is -5

Step by step Explanation:

The given equation is
`(y^(-9))^b=y^(45)`

To find the value of b in the given equation :

`(y^(-9))^b=y^(45)`

`y^(-9b)=y^(45)` ( using the property
`(a^m)^n=a^(mn)`

here m=-9 and n=b )

Since the base y are same in both sides so we can equate the powers as below :

-9b=45

`b=(45)/(-9)`

b=-5

Therefore the value of b is -5

The value of b in the given equation
`(y^(-9))^b=y^(45)` is -5