The expression for 4⁻³ as a power with the base 2 is 2⁶. State whether the statement is true or false.

Solution:

Given, the expression for 4⁻³ as a power with the base 2 is 2⁶.

Using law of exponents,

a⁻ⁿ = 1/aⁿ

4⁻³ = 1/4³

4 can be written as 2².

So, 1/4³ = 1/(2²)³

Using law of exponents,

(a^m)ⁿ = a^mn

So, (2²)³ = 2⁶

Now, 1/(2²)³ = 1/2⁶

= 2⁻⁶

Therefore, 4⁻³ as a power with the base 2 is 2⁻⁶.

✦ Try This: The expression for 16⁻⁴ as a power with the base 2 is 2⁹. 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 80

The expression for 4⁻³ as a power with the base 2 is 2⁶. State whether the statement is true or false.

Summary:

The given statement, ”The expression for 4⁻³ as a power with the base 2 is 2⁶” is false.

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