Question

Solve the following problems. 1) Simplify: (5/2)5÷(2/5)3​

Answer 1

Given :- Solve the following problems. 1) Simplify: (5/2)5÷(2/5)3

Solution :-

→ (5/2)5÷(2/5)3

→ (5/2) * 5 ÷ (2/5) * 3

→ (5 * 5)/2 ÷ (2 * 3)/5

→ (25/2) ÷ (6/5)

→ (25/2) * (5/6)

→ (125/12)

→ 10(5/12) (Ans.)

If Question is :- (5/2)^5÷(2/5)^3

→ (5/2)^5 ÷ (2/5)^3

using (a/b)^m = (b/a)^(-m)

→ (5/2)^5 ÷ (5/2)^(-3)

now using a^m ÷ a^n = a^(m - n)

→ (5/2)^(5 - (-3))

→ (5/2)^(5 + 3)

→ (5/2)^8

→ (390625/256) (Ans.)

Learn more :-

(3) निम्न के स्थानीय मान लिखिये-

(अ)43.24

(स)884.20

(ब) 534.34

(द) 178.34

https://brainly.in/question/37666224

Answer 2

Given:

$(\dfrac{5}{2})^{5} \div (\dfrac{2}{5})^{3}$

To find:

Simplify it.

Solution:

$(\dfrac{5}{2})^{5} \div (\dfrac{2}{5})^{3}$

$=> (\dfrac{5}{2})^{5} \times (\dfrac{5}{2})^{3}$

Now, bases are equal. add the exponents.

$=> (\dfrac{5}{2})^{5+3}$

$=> (\dfrac{5}{2})^{8}$

$=> \dfrac{390625}{256}$

$=> 1525.87$

Hene, the required answer is 1525.87

Know More:

Express each of the following numbers using exponential form.

1)512

https://brainly.in/question/14161966

Express the following number as directed: -243 in exponential form as a) base -3.

https://brainly.in/question/7469202