Question

Which of the following is equal to x3?

a. x6 – x3

b. x6

.x3

c. x6

/x3

d. (x6)3​

Answer 1

Answer:

Option C is correct = x⁶/x³

Step-by-step explanation:

I believe your Question is,

"Which of the following is equal to x³.

a) x⁶ - x³

b) x⁶ • x³

c)x⁶/x³

d) (x⁶)³ "

So, to solve this we must use trial and error, and some important results,

1. a^m × a^n = a^(m + n)

2. a^m ÷ a^n = a^(m - n)

3. (a^m)^n = a^(m × n)

Lets take a)

Now,

x⁶ - x³

Taking x³ common we get,

x³(x³ - 1)

But this is not equal to x³.

Now, b)

x⁶ • x³

= x⁶ × x³

= x^(6 + 3)

= x⁹

So, that is not equal to x³

Now, c)

x⁶/x³

= x^(6 - 3)

= x³

Thus, x⁶/x³ equal to x³,

But, to make sure let's do the next also,

d) (x⁶)³

= x^(6 × 3)

= x¹⁸

Thus, Option C is correct.

Hope it helped and believing you understood it........All the best