Apply the Property of Negative Integer Exponents to solve 3−4 . The answer should not contain any exponent expression or decimals.(1 point)
The property of negative integer exponents states that for any nonzero number x and negative integer n, x^n = 1/x^(-n).
Applying this property to the expression 3^(-4), we have:
3^(-4) = 1/3^(4)
Therefore, the answer is 1/81.
To apply the property of negative integer exponents, we will rewrite the given expression in fractional form.
The property states that for any non-zero number "a",
a^(-n) = 1/a^n
In this case, we have 3^(-4). Using the property, we can rewrite it as:
1 / (3^4)
Now we can calculate the value of 3^4:
3^4 = 3 * 3 * 3 * 3 = 81
Substituting this value back into the expression, we have:
1 / 81
Therefore, the solution to 3^(-4) is 1/81.
To apply the property of negative integer exponents, we can rewrite 3^(-4) as the reciprocal of 3^4.
First, let's calculate 3^4:
3^4 = 3 * 3 * 3 * 3 = 81
Now, taking the reciprocal of 81 gives:
1/81
So, 3^(-4) is equal to 1/81. Therefore, the solution to 3^(-4) without using any exponent expression or decimals is 1/81.