Question & Answer

Evaluate. Write your answer as a fraction or whole number without exponents. 3^-4 =

Evaluate. Write your answer as a fraction or whole number without exponents.
3^-4 =

1 Answer

Verified archive
Quizzma TeamApril 12, 2025

To evaluate ( 3^{-4} ), you can use the property of negative exponents, which states that ( a^{-b} = frac{1}{a^b} ).

Applying this property:

[

3^{-4} = frac{1}{3^4}

]

Next, calculate ( 3^4 ):

[

3^4 = 3 times 3 times 3 times 3 = 81

]

Now, substitute back:

[

3^{-4} = frac{1}{81}

]

So, the answer is ( frac{1}{81} ).