Question

find the value of y if (100)^2 ×(10)^5=(1000)^y​

Answer 1

Step-by-step explanation:

Given: (100)^2×10^5=1000^y

To find : y

Sol : 100^2×10^5 = 1000^y

10^4×10^5 = 1000^y

10^9 = (10^3)^y

(a^m×a^n =a^m+n

Aldo 1000=10^3)

10^9 = 10^3y

9 =3y

(If a^m = a^n then

m = n)

● y=3

Answer y=3

Answer 2

The value of y is 3.

Step-by-step explanation:

Given : Expression $(100)^2\times (10)^5=(1000)^y$

To find : The value of y ?

Solution :

Solving the expression as,

$(100)^2\times (10)^5=(1000)^y$

$(10^2)^2\times (10)^5=(10^3)^y$

$(10)^4\times (10)^5=(10)^{3y}$

$(10)^9=(10)^{3y}$

Comparing the base,

$9=3y$

$y=\frac{9}{3}$

$y=3$

Therefore, the value of y is 3.

#Learn more

Y+³/²=5 find the value of y​

https://brainly.in/question/13804454