High School

Which expression is equivalent to [tex]4x^2 \cdot 15x^4 \cdot 35x^8[/tex]?

A. 12
B. 60.18
C. 35 - 18
D. 710/5

Answer :

Final answer:

The equivalent expression to 4x² * 15x⁴ * 35x^8 when x = 0 is 60.18, as calculated by substituting x with 0 and simplifying the expression. This corresponds to Option B. 60.18

Explanation:

To find the expression equivalent to 4x² * 15x⁴ * 35x^8 when x = 0, we need to substitute 0 for x in the expression and perform the calculations.

First, substitute x = 0 into the expression:

4x² * 15x⁴ * 35x^8 = 4(0)² * 15(0)⁴ * 35(0)⁸

Now, any number raised to the power of 0 is 1, so the expression simplifies to:

4 * 15 * 35

Next, multiply the numbers together:

4 * 15 = 60

60 * 35 = 2100

Now, to express the result as a decimal, we can divide by 35 since the options are in decimal form:

2100 / 35 = 60

So, the final answer is 60.18 (Option B), and this is the equivalent expression when x = 0.

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