Question

( 2 /19) ¹⁵ ÷ ( 2 /19) ¹³
plz answer fast​

Answer 1

Answer:

4/ 361

Step-by-step explanation:

•Dividing two fractions take place by multiplying the first fraction with the reciprocal of the second.

=> (2/ 19)¹⁵ ÷ (2/ 19)¹³

=> (2/ 19)¹⁵ × (19/ 2)¹³

•Distributing the power of the fraction to its denominator and numerator.

=> 2¹⁵/ 19¹⁵ × 19¹³/ 2¹³

•taking common bases to form one fraction.

=> (2¹⁵/ 2¹³) × (19¹³/ 19¹⁵)

•When the numerator and denominator have a common base raised to some power, the base remains in its place and their power gets subtracted .

=> 2¹⁵⁻¹³ / 19¹⁵⁻¹³

= 2²/ 19²

= 4/ 361

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Hope this helps!