Which expression is equivalent to 32 ⋅ 3−5?
fraction 1 over 3 to the power 3
fraction 1 over 3 to the power 7
fraction 1 over 3 to the power negative 3
fraction 1 over 3 to the power negative 7
Nice to see that this totally answered a question I needed help on.
Yall really in here calling each other names under a post in 2015-
bruh -_-
An answer that was like 5 years ago.
7 years n no one wrote a right response..
interesting.
To find the equivalent expression to 32 ⋅ 3−5, we need to understand the rules of exponents.
When we multiply numbers with the same base, we add their exponents. So, 32 ⋅ 3−5 can be rewritten as (3^2) ⋅ 3−5.
Now, let's simplify the expression using the properties of exponents:
(3^2) ⋅ 3−5 = 3^2−5 = 3−3.
To simplify further, we use the rule that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n. Therefore, 3−3 is equivalent to 1/(3^3).
So, the expression equivalent to 32 ⋅ 3−5 is the fraction 1 over 3 to the power negative 3.
The expression 3^2 x 3^3 x 3^4 is equivalent to
3^2 * 3^-5
= 3^(2-5)
= 3^-3
= 1/3^3
Your notation is very sloppy.