Question

Which expression is equivalent to...

Answer 1

Answer:

Step-by-step explanation:

We have like bases in our m's, and the rule for the numerator, where those bases are multiplied, is that we can add the exponents on them to get a new power. We will also at the same time multiply 4 by 6:

$\frac{24m^7}{3m^2}$  As far as the numbers go, we will divide them to get 8; the rule for dividing like bases is that we subtract the lower exponent from the upper to get:

$8m^5$, the third choice down

Answer 2

The expression [(4m³) x (6m⁴)] / 3m² will be equivalent to 8m⁵. The correct option is C.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

[(4m³) x (6m⁴)] / 3m² = 24m⁷ / 3m²

Divide the numerator by the denominator to simplify the expression.

[(4m³) x (6m⁴)] / 3m² = 8m⁵

Therefore, the expression [(4m³) x (6m⁴)] / 3m² will be equivalent to 8m⁵. The correct option is C.

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