Using the properties of exponents, which expression is equivalent to x/3/4 x?
To simplify the expression x/3/4 x using the properties of exponents, we can rewrite it using the rule that a/b ÷ c is the same as a/b × 1/c.
Thus, x/3/4 x can be rewritten as x × 1/(3/4 x).
To multiply fractions, we can multiply the numerators and multiply the denominators. So, 1/(3/4 x) can be simplified as (1 × 4 x)/(3 × x).
Simplifying further, we have (4 x)/(3 x).
Now, we can cancel out the x terms in the numerator and denominator, giving us 4/3.
Therefore, the expression x/3/4 x is equivalent to 4/3.
To simplify the expression x/3/4 x using the properties of exponents, we can rewrite it in a more manageable form.
Step 1: Start by writing the expression as x * (1/3) * (1/4) * x.
Step 2: Next, we can simplify the multiplication of the fractions. The product of (1/3) * (1/4) is equivalent to 1/12.
Step 3: Now we have x * (1/12) * x.
Step 4: We can simplify this expression even further by combining the x terms. Multiplying x by (1/12) will give us (x/12).
Therefore, the expression x/3/4 x is equivalent to (x/12).