(-5)⁻² × (-5)⁻³ = (-5)⁻⁶. State whether the statement is true or false.

Solution:

Given, (-5)⁻² × (-5)⁻³ = (-5)⁻⁶

LHS : (-5)⁻² × (-5)⁻³

Using the law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = -5

m = -2

n = -3

So, m + n = -2 + (-3)

= -2 - 3

= -5

a^{m + n} = (-5)⁻⁵

≠ (-5)⁻⁶

LHS ≠ RHS

Therefore, (-5)⁻² × (-5)⁻³ = (-5)⁻⁵

✦ Try This: (-8)⁻⁴ × (-8)⁻³ = (-8)⁻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 71

(-5)⁻² × (-5)⁻³ = (-5)⁻⁶. State whether the statement is true or false.

Summary:

The given statement, ”(-5)⁻² × (-5)⁻³ = (-5)⁻⁶” is false using the laws of exponents.

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☛ Related Questions:

• (-4)⁻⁴ × (4)⁻¹ = (4)⁵. State whether the statement is true or false
• (2/3)⁻² × (2/3)⁻⁵ = (2/3)¹⁰. State whether the statement is true or false
• 5⁰ = 5. State whether the statement is true or false