Question

WHICH OF THE FOLLOWING IS EQUAL TO X3?

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Answer 1

Answer:

bro ans. is here

Step-by-step explanation:

x^6/x^3=x^6-3=x^3

because power in divide got subtracted

Answer 2

Given :  x³

To find : Which of the following is equal to x³

x⁶ - x³

x⁶.x³

x⁶ / x³

x⁶ / 2

Solution:

Law of exponents

$& {{\text{a}}^{n}}\times {{a}^{-n}}=1\text{ or }{{\text{a}}^{n}}=\frac{1}{{{a}^{n}}} \\ & {{a}^{m}}\times {{a}^{n}}={{a}^{m+n}} \\ & \frac{{{a}^{m}}}{{{a}^{n}}}={{a}^{m-n}} \\ & {{\left( {{a}^{m}} \right)}^{n}}={{\left( {{a}^{n}} \right)}^{m}}={{a}^{mn}} \\ & {{a}^{m}}\times {{b}^{m}}={{\left( ab \right)}^{m}} \\ & \frac{{{a}^{n}}}{{{b}^{n}}}={{\left( \frac{a}{b} \right)}^{n}} \\ & {{a}^{0}}=1$

x⁶ - x³  = x³ ( x³ - 1)   ≠ x³

x⁶.x³  = x⁶⁺³ = x⁹ ≠ x³

x⁶ / x³ =  x⁶⁻³ = x³ = x³   ( satisfied)

x⁶ / 2 ≠ x³

x⁶ / x³  is the correct option

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