a^m × b^m = (ab)^m. State whether the statement is true or false.

Solution:

Given, a^m × b^m = (ab)^m

LHS: a^m × b^m

Using law of exponents,

p^m × q^m = (pq)^m

= (ab)^m

= RHS

LHS = RHS

✦ Try This: x^m × y^m = (xy)^m State whether the statement is true or false.

Given, a^m × b^m = (ab)^m

LHS: x^m × y^m

Using law of exponents,

p^m × q^m = (pq)^m

= (xy)^m

= RHS

LHS = RHS

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 90

a^m × b^m = (ab)^m. State whether the statement is true or false.

Summary:

The given statement, ”a^m × b^m = (ab)^m ” is true using the laws of exponents

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☛ Related Questions:

• Solve the following: 100⁻¹⁰
• Solve the following: 2⁻² × 2⁻³
• Solve the following: (1/2)⁻² ÷ (1/2)⁻³