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=
1/3^4=1/3*3*3*3=1/81
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5 with positive exponents only.(1 point)
7^−3⋅7^−5=
7^(-3) * 7^(-5) = (1/7^3) * (1/7^5) = 1/(7^3 * 7^5) = 1/7^(3+5) = 1/7^8 = 7^(-8)
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9/4^−12 with positive exponents only.(1 point)
5^−9/4^−12=
5^(-9) / 4^(-12) = 4^12 / 5^9
To apply the property of negative integer exponents to solve 3^(-4), we need to apply the rule that states: a^(-n) = 1/(a^n).
Applying this rule to 3^(-4), we get:
3^(-4) = 1/(3^4) = 1/81
Therefore, 3^(-4) = 1/81.
To solve 3^(-4), we can make use of the property of negative integer exponents, which states that a number raised to a negative exponent is equal to 1 divided by that number raised to the positive exponent.
So, in this case, we have 3^(-4), which is the same as 1 divided by 3^4. Now we can evaluate 3^4:
3^4 = 3 * 3 * 3 * 3 = 81
Therefore, 3^(-4) is equal to 1 divided by 81. Simplifying further:
1 / 81 = 1/81
So, the answer to 3^(-4) is 1/81.