x^m/y^m = (y/x)^-m. State whether the statement is true or false.

Solution:

Given, x^m/y^m = (y/x)^-m

Using law of exponents,

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

So, x^m/y^m = (x/y)^m

Using law of exponents,

a⁻ⁿ = 1/aⁿ

Now, a⁻ⁿ = 1/(x/y)^m

= (y/x)⁻^m

Therefore, x^m/y^m = (y/x)^-m

✦ Try This: u^m/v^m = (u/v)^-m State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

---

NCERT Exemplar Class 8 Maths Chapter 8 Problem 82

x^m/y^m = (y/x)^-m. State whether the statement is true or false.

Summary:

The given statement, ”x^m/y^m = (y/x)^-m”is true using the laws of exponents

---

☛ Related Questions:

• am = 1/a⁻m. State whether the statement is true or false
• The exponential form for (-2)⁴ × (5/2)⁴ is 5⁴. State whether the statement is true or false
• The standard form for 0.000037 is 3.7 × 10⁻⁵. State whether the statement is true or false