The value of 1/(4)⁻² is equal to 16. State whether the statement is true or false.

Solution:

Given, the value of 1/(4)⁻² is equal to 16.

Using law of exponents,

a⁻ⁿ = 1/aⁿ

So, 1/(4)⁻² = 4²

Now, 4² = 4 × 4

= 16

Therefore, 1/(4)⁻² = 16.

✦ Try This: The value of 1/(3)⁻² is equal to 9. State whether the statement is true or false.

Given, the value of 1/(3)⁻² is equal to 9.

Using law of exponents,

a⁻ⁿ = 1/aⁿ

So, 1/(3)⁻² = 3²

Now, 3² = 3 × 3

= 9

Therefore, the given statement is true.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 79

The value of 1/(4)⁻² is equal to 16. State whether the statement is true or false.

Summary:

The given statement, ”The value of 1/(4)⁻² is equal to 16” is true.

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