Question

3375 ^3.7 / 225 ^4.3 x 15^ 2.5 / 3^5 = 5^ ?

Answer 1

Step-by-step explanation:

Given 3375 ^3.7 / 225 ^4.3 x 15^ 2.5 / 3^5 = 5^ ?

• Solving we get
•         (3375)^3.7 / 225^4.3 x 15^2.5 / 3^5  
•    (5^3 x 3^3)^3.7 x (5 x 3)^2.5 / (5^2 x 3^2)^4.3 x 3^5 (using law of indices (a^m)^n = a^mn
•         5^11.1 x 3^11.1 x 5^2.5 x 3^2.5 x 5^-8.6 x 3^-8.6 x 3^-5
•          5^11.1 x 5^2.5 x 5^-8.6 x 3^11.1 x 3^2.5 x 3^-8.6 x 3^-5
• Using a^m x a^n = a^m + n
•                    5^5 x 3^13.6 – 13.6
•                      5^5 x 3^0
•                        5^5 x 1
•                         = 5^5

Reference link will be

https://brainly.in/question/5159121

Answer 2

Answer:

(5^3×3^3)^3.7/ (5^2×3^3)^4.3 ×(5×3)^2.5 / 3^5

5 to the power of 3×3.7 (we get 11.1)

3 to the power of 3×3.7 (we get 11.1). when added =22.2

5 to the power of 2×4.3

3 to the power of 2×4.3

= 17.2

5 to the power of 2.5

3 to the power of 2.5

=5

3 to the power of 5

=5

22.2-17.2+5-5 ( when' / 'take -and when' ×' take+)

= 5