(2/3)^-2 × (2/3)^-5 = (2/3)¹⁰. State whether the statement is true or false.

Solution:

Given, (2/3)^-2 × (2/3)^-5 = (2/3)¹⁰.

LHS: (2/3)^-2 × (2/3)^-5

Using the law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = (2/3)

m = -2

n = -5

So, m + n = -2 + (-5)

= -2 - 5

= -7

a^{m + n} = (2/3)^-7

≠ (2/3)¹⁰

LHS ≠ RHS

✦ Try This: (3/5)^-2 × (3/5)^-6 = (3/5)⁹. 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 73

(2/3)^-2 × (2/3)^-5 = (2/3)¹⁰. State whether the statement is true or false.

Summary:

The given statement, ”(2/3)^-2 × (2/3)^-5 = (2/3)¹⁰” is false using the laws of exponents

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☛ Related Questions:

• 5⁰ = 5. State whether the statement is true or false
• (-2)⁰ = 2. State whether the statement is true or false
• (-8/2)⁰ = 0. State whether the statement is true or false