Find the numerical equivalent of 3^9 * 3^-5
To find the numerical equivalent of 3^9 * 3^-5, we can simplify the expression by applying the rule of exponents that states when multiplying exponents with the same base, you can add their powers.
Let's calculate the powers separately:
3^9 = 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 = 19683
3^-5 = 1 / (3^5) = 1 / (3 * 3 * 3 * 3 * 3) = 1 / 243
Now, multiply the two results together:
19683 * (1 / 243) = 19683 / 243 = 81
Therefore, the numerical equivalent of 3^9 * 3^-5 is 81.
To find the numerical equivalent of 3^9 * 3^-5, we can simplify by combining the exponents:
3^9 * 3^-5 = 3^(9 + -5)
Adding the exponents, we get:
3^(9 + -5) = 3^4
Therefore, the numerical equivalent of 3^9 * 3^-5 is 3^4, which is equal to 81.
To find the numerical equivalent of 3^9 * 3^-5, we can simplify the expression step by step.
First, let's apply the exponent rules. According to the rule of exponentiation, when multiplying two numbers with the same base, we add their exponents. Therefore, we can simplify the expression as follows:
3^9 * 3^-5 = 3^(9 + (-5)) = 3^4
Now that we have 3^4, we can calculate it. The exponent 4 means that we need to multiply 3 four times:
3 * 3 * 3 * 3 = 81
Therefore, the numerical equivalent of 3^9 * 3^-5 is 81.