Question

Simplify the expression 3u²v ²xu ⁻⁴v 2²with only positive exponents.

A) 3v ⁴ x
B) 3u ² v ⁴ x
C) 3u −² v ⁴ x
D) 3u ²x

Answer 1

To simplify the expression 3u²v²xu⁻⁴v2² with positive exponents, we must use the rules of exponents to simplify each term. The simplified expression is 3u²v⁴x/u⁴v⁴. B) 3u ² v ⁴ x

Step-by-step explanation:

To simplify the expression 3u²v²xu⁻⁴v2² with positive exponents, we must use the rules of exponents to simplify each term.

Starting with the first term, 3u², there are no negative exponents, so we leave it as is.

Next, v² has a positive exponent, so we leave it unchanged as well.

Finally, xu⁻⁴v2² can be simplified by bringing the negative exponent up as a positive exponent in the denominator, resulting in x/v⁴u⁴.

Combining all the simplified terms, the expression becomes 3u²v⁴x/v⁴u⁴, which can be further simplified to 3u²v⁴x/u⁴v⁴.

So, the simplified expression is 3u²v⁴x/u⁴v⁴.