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

Answer:

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

$b=\frac{45}{-9}$

b=-5

Therefore the value of b is -5

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

Answer 2

Answer:

Step-by-step explanation: