Question

answer please this question​

Answer 1

Answer:

4/3

Step-by-step explanation:

Given:

Z=(25/4)^ -1/2 - (1/27)^1/3 + 7^0

To find:

Value the given expression

Solution:

We know that

• (a/b)⁻ˣ=(b/a)ˣ
• Thus (25/4)^-1/2
• =(4/25)^1/2
• =√(4/25)
• =√(2²/5²)
• =2/5

Also

• (1/27)^1/3
• =(1/3³)^1/3
• =1/3

Thus

Z=(25/4)^ -1/2 - (1/27)^1/3 + 7⁰

=2/5-1/3+1 ( as x⁰=1)

Taking LCM Of 5,3=15

Z=(2*3-1*5+15)/15

=(6-1+15)/15

=20/15

=4/3

Answer:

4/3

Formulas and concept used:

(a/b)⁻ˣ = (b/a)ˣ

a⁰ = 1

Other  useful concepts:

1. a^1/2 =√a
2. a^1/3=∛a
3. aⁿ⁺ˣ =aⁿ ₓ aˣ
4. aⁿ⁻ˣ =aⁿ / aˣ