Find the numerical equivalent of 3 ^ 6 * 3 ^ -2 the answer should not contain any exponent expressions or decimals
To find the numerical equivalent of 3^6 * 3^-2 without using exponent expressions or decimals, we can simplify the expression using exponent rules.
First, notice that we can combine the two terms with the same base, 3, by adding the exponents:
3^6 * 3^-2 = 3^(6 + (-2))
To simplify the exponent, we perform the addition:
3^(6 + (-2)) = 3^4
Thus, the numerical equivalent of 3^6 * 3^-2 without any exponent expressions or decimals is 3^4.
To find the numerical equivalent of 3^6 * 3^(-2), we can use the law of exponents which states that when raising a power to another power, we multiply the exponents.
So, 3^6 * 3^(-2) can be written as 3^(6 + (-2)). Simplifying the exponent, we get:
3^4.
Therefore, the numerical equivalent of 3^6 * 3^(-2) is 81.
To find the numerical equivalent of the given expression, we can simplify it step by step using the properties of exponents.
Step 1: Simplify the base of the exponent.
3^6 * 3^-2 can be written as (3^6) * (1/3^2).
Step 2: Simplify the exponents separately.
3^6 = 3 * 3 * 3 * 3 * 3 * 3 = 729.
1/3^2 = 1/(3 * 3) = 1/9.
Step 3: Multiply the simplified values together.
729 * (1/9) = 729/9.
Step 4: Reduce the fraction to its lowest terms.
729/9 = 81.
Therefore, the numerical equivalent of 3^6 * 3^-2 is 81.