Apply the Property of Negative Integer Exponents to solve 3−4. The answer should not contain any exponent expression or decimals.(1 point)
3−4=
To apply the property of negative integer exponents, we can rewrite the expression as follows:
3^-4 = 1/3^4
Now, we can simplify the expression by evaluating 3^4:
1/3^4 = 1/81
Therefore, 3^-4 = 1/81.
To apply the Property of Negative Integer Exponents, we need to rewrite the expression with a positive exponent.
The property states that for any nonzero number "a" and any positive integer "n," the expression "a^(-n)" is equal to 1 divided by "a^n."
So, to solve 3^(-4), we can rewrite it as 1 divided by 3^4.
Therefore, 3^(-4) = 1 / 3^4.
As per the question's requirement, the answer should not contain any exponent expression or decimals.
Hence, the solution is:
3^(-4) = 1 / 81.
To solve the expression 3^(-4), we can apply the property of negative integer exponents, which states that a number raised to a negative exponent is equal to its reciprocal raised to the positive exponent.
In this case, to solve 3^(-4), we can rewrite it as 1 / 3^4, since 3^(-4) is the reciprocal of 3^4.
Now, let's calculate 3^4. To do this, we multiply 3 by itself four times:
3^4 = 3 * 3 * 3 * 3 = 81
Therefore, 3^(-4) is equal to 1 / 81.
So, the answer is 1/81, which can be expressed as a fraction and does not contain any exponent expression or decimals.