Fully simplify and write your answer in exponential form with positive exponents only.
3^−8⋅3^−5 =
To simplify the expression, we add the exponents and keep the base the same:
3^(-8) ⋅ 3^(-5) = 3^(-8-5)
Now, we subtract the exponents:
3^(-8-5) = 3^(-13)
Therefore, the fully simplified expression in exponential form with positive exponents only is:
3^(-8) ⋅ 3^(-5) = 3^(-13)
To simplify and write the expression 3^(-8) * 3^(-5) in exponential form with positive exponents only, we can combine the exponents and use the rule for multiplication of exponents.
When multiplying powers with the same base, we add the exponents. So, in this case, we have:
3^(-8) * 3^(-5) = 3^((-8)+(-5))
Simplifying the exponent, we get:
3^(-8) * 3^(-5) = 3^(-13)
Therefore, the fully simplified expression in exponential form with positive exponents is:
3^(-8) * 3^(-5) = 3^(-13)
To fully simplify and write the expression in exponential form with positive exponents only, we can use the rule of exponents that states, "When multiplying two numbers with the same base, you add their exponents."
Given the expression 3^(-8) * 3^(-5), we can simplify it as follows:
3^(-8) * 3^(-5) = 3^(-8 + (-5))
To simplify, we add the exponents:
= 3^(-13)
Therefore, the fully simplified expression written in exponential form with positive exponents only is 3^(-13).