Question

( 2⁵ )² × 9⁵ / 8³ × 9⁴​

Answer 1

Answer:

(2/3)^2

Step-by-step explanation:

( 2⁵ )² × 9⁵ / 8³ × 9⁴​

2^(5*2) x (3^2)^5/ (2^3)^3 x (3^2)^4

=> 2^10 x 3^(5*2) / 2^(3*3) x 3^(2*4)

=> 2^10 x 3^10/ 2^9 x 3^8

=> 2^10 ÷ 2^8 / 3^10 ÷ 3^8

=> 2^(10-8) / 3^(10-8)

=> 2^2/3^2

=> (2/3)^2

Hope you understood!!

Answer 2

Given:

( 2⁵ )² × 9⁵ / 8³ × 9⁴​

To Find:

The value of the given equation

Solution:

The given expression is an exponent. An exponent is a number raised to some power which can be any real number, it means that how many times that number is multiplied by itself. There are a certain set of rules which needs to be followed when dealing with exponents, they are as follows

$x^a*x^b=x^{a+b}\\\frac{x^a}{x^b}=x^{a-b}\\(x^a)^b=x^{ab}$

Now solving the given equation,

$=\frac{(2^5)^2*9^5}{8^3*9^4}\\=\frac{2^{10}*9^5}{(2^3)^3*9^4}\\=\frac{2^{10}*9^5}{2^9*9^4}\\= 2*9\\=18$

Hence, the value of the given equation is 18.