Math  /  Algebra

QuestionThe expression given is 5ab43c5 a b^{4} \cdot 3 c. However, to solve an expression, we typically need an equation (something set equal to a value) or additional context, such as values for the variables or a specific variable to solve for. Since the expression is not an equation, it cannot be "solved" in the traditional sense. If you have an equation or additional instructions, please provide them. Otherwise, the expression can be simplified by multiplying the coefficients and combining the variables:
5ab43c=15ab4c 5 a b^{4} \cdot 3 c = 15 a b^{4} c

Studdy Solution

STEP 1

What is this asking? We're asked to simplify an expression, which means to combine everything we can and make it look neater! Watch out! Remember, we can only combine terms that have the same variables raised to the same powers.
Don't accidentally add apples and oranges!

STEP 2

1. Combine coefficients
2. Combine variables

STEP 3

Our coefficients, the numbers multiplying the variables, are 55 and 33.

STEP 4

We **multiply** the coefficients together: 53=155 \cdot 3 = 15.
This is because the expression shows multiplication between the terms.
So, our new coefficient is **15**!

STEP 5

We have the variables aa, bb, and cc, each raised to certain powers. bb is raised to the fourth power (b4b^4), while aa and cc are each implicitly raised to the first power (a1a^1 and c1c^1).

STEP 6

Since we're multiplying, we write all the variables together.
Since aa appears once, we have aa.
Since bb appears to the fourth power, we have b4b^4.
Since cc appears once, we have cc.
We write them all together!

STEP 7

Putting the combined coefficient and variables together, our simplified expression is 15ab4c15ab^4c!

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