Which of the following is equivalent to 3^-4? (1 point)
1/3^4
How do you get that anwser?
To find the equivalent of 3^-4, we can use the property of exponents that states:
a^(-n) = 1 / a^n.
Therefore, 3^-4 is equal to 1 / 3^4. We can simplify by calculating 3^4 which is 81, and then find the reciprocal of 81, which is 1/81.
Thus, 3^-4 is equivalent to 1/81.
To find the equivalent expression for 3^-4, we can use the rule that states a negative exponent can be rewritten as the reciprocal of the expression with a positive exponent.
So, 3^-4 is equivalent to 1/3^4.
Thus, the answer is 1/81.
To find the equivalent value of 3^-4, we need to remember the rule of exponentiation which states that a negative exponent indicates reciprocal.
In this case, 3^-4 can be written as 1/3^4 since the negative exponent indicates taking the reciprocal.
Now, we can simplify by calculating 3^4.
3^4 = 3 * 3 * 3 * 3 = 81
So, 3^-4 is equivalent to 1/81.
Therefore, the answer is 1/81.