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

Solution:

Given, a^p × b^q = (ab)^pq

RHS: (ab)^pq

Using law of exponents,

a^m × b^m = (ab)^m

So, (ab)^pq = (a)^pq × (b)^pq

≠ LHS

LHS ≠ RHS

Therefore, a^p × b^q ≠ (ab)^pq

✦ Try This: x^p × m^q = (xm)^pq State whether the statement is true or false.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 81

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

Summary:

The given statement, ”a^p × b^q = (ab)^pq” is false using the laws of exponents

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☛ Related Questions:

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