(-7)⁻⁴ × (-7)² = (-7)⁻². State whether the statement is true or false.

Solution:

Given, (-7)⁻⁴ × (-7)² = (-7)⁻².

LHS: (-7)⁻⁴ × (-7)²

Using the law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = -7

m = -4

n = 2

So, m + n = -4 + 2

= -2

a^{m + n} = (-7)⁻²

LHS = RHS

✦ Try This: (5)⁻⁴ × (5)⁵ = 5. 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 78

(-7)⁻⁴ × (-7)² = (-7)⁻². State whether the statement is true or false.

Summary:

The given statement, ”(-7)⁻⁴ × (-7)² = (-7)⁻²” is true using the laws of exponents

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☛ Related Questions:

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