Question

9.) Which of the following is equal to x3?
a. x6
-x
3
b. x6
.x3
c. x6
/x3
d. (x6

Answer 1

Question:-

Which of the following is equal to x³?

Answer:-

(c) x⁶/ x³

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

Learn More:

0.243^0.2×10^0.6=? Pls help me it's very urgent - Brainly.in

brainly.in/question/3246219

3⁴)² ÷ [3⁴ X 3⁵] : Evaluate.

brainly.in/question/5030040