a^m = 1/a^-m. State whether the statement is true or false.

Solution:

Given, a^m = 1/a⁻^m

Using law of exponents,

a⁻ⁿ = 1/aⁿ

on rewriting the given expression, we get

1/a^m = a⁻^m

Therefore, a^m = 1/a⁻^m

✦ Try This: x^m = 1/x⁻^m. State whether the statement is true or false.

Given, x^m = 1/x⁻^m

Using law of exponents,

a⁻ⁿ = 1/aⁿ

on rewriting the given expression, we get

1/x^m = x⁻^m

Therefore, x^m = 1/x⁻^m

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 83

a^m = 1/a^-m. State whether the statement is true or false.

Summary:

The given statement, ”a^m = 1/a^-m” is true using the laws of exponents

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☛ Related Questions:

• The exponential form for (-2)⁴ × (5/2)⁴ is 5⁴. State whether the statement is true or false
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• The standard form for 203000 is 2.03 × 10⁵. State whether the statement is true or false