Felipe bought 32 ounces of nuts at the store. How much is this in pounds?
1 answer:
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Answer:
1/9, 3, 27
(A / the first option listed)
Step-by-step explanation:
Here, we are given an expression with an "x" in it, and we are to evaluate possible x values, which means we plug them in as the x in the expression
first,
x = -2
3ˣ → 3⁻²
when we raise something to a negative power, we simply find the positive version of that power, and put a 1 over it:
3² = 3 · 3 = 9
so, 3⁻² = (1/9)
next,
x = 1
3ˣ → 3¹
now, here we have something raised to the power of 1, which is always itself, so 3¹ = 3
(think of ^to the power of as how many times we multiply that number, so 3² = 3 · 3, 3¹ = 3)
and finally,
x = 3
3ˣ → 3³
here, we can multiply 3 by itself 3 times:
3 · 3 · 3 = 27
so, 3³ = 27
[<em>important note</em><em>: when we raise something to a power, we are </em><u><em>not</em></u><em> multiplying the base number by that number, but this is a common mistake. but the exponent is how many times we are multiplying that number, which is confusing at first}</em>
So, our answers in order are:
1/9, 3, 27 (the first option listed)
hope this helps! let me know if I should clarify anything :)
Answer:
Step-by-step explanation:
We are asked to divide our given fraction: .
We will simplify our division problem using rules of exponents.
Using product rule of exponents we can write:
Substituting these values in our division problem we will get,
Using power rule of exponents we will get,
Using quotient rule of exponent we will get,
Using product rule of exponents we will get,
Upon canceling out we will get,
Using power rule of exponents we will get,
Therefore, our resulting quotient will be .