The value for (-7)⁶ ÷ 7⁶ is _________. Fill in the blank to make the statement true.

Solution:

Given, the value for (-7)⁶ ÷ 7⁶ is _________.

We know, (-a)ⁿ = aⁿ, when n is even number

So, (-7)⁶ = 7⁶

Using law of exponents,

a^m ÷ aⁿ = a^{m - n}

7⁶ ÷ 7⁶ = 7^{6 - 6}

= 7⁰

Using law of exponents,

a° = 1, where a ≠ 0

So, 7⁰ = 1

Therefore, the required value is 1.

✦ Try This: The value for (-8)⁴ ÷ 8⁶ is _________. Fill in the blank to make the statement true.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 64

The value for (-7)⁶ ÷ 7⁶ is _________. Fill in the blank to make the statement true.

Summary:

The value for (-7)⁶ ÷ 7⁶ is 1 makes the statement true.

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☛ Related Questions:

• The value of [1⁻² + 2⁻² + 3⁻²] × 6² is ________ . Fill in the blank to make the statement true
• The multiplicative inverse of (-4)⁻² is (4)⁻². State whether the statement is true or false
• The multiplicative inverse of (3/2)² is not equal to (2/3)⁻². State whether the statement is true o . . . .