Respuesta :

SpiritInly

Answer:

10³⁰

Step-by-step explanation:

firstly working out without the power of 3

[tex]( \frac{10 {}^{15} }{10 {}^{5} } )[/tex]

this is the same as 10¹⁵ ÷ 10⁵

here the bases are the same and it's division so we subtract the powers

15 - 5 = 10

10¹⁵ ÷ 10⁵ = 10¹⁰

we are left with (10¹⁰)³, multiply the powers

10 × 3 = 30

final answer = 10³⁰

Amphitrite1040

Hey there!

(10^15/10^5)^3


10^15

= 1,000,000,000,000,000


10^5

= 10 * 10 * 10 * 10 * 10

= 100 * 100 * 10

= 10,000 * 10

= 100,000


(1,000,000,000,000,000/100,000)^3

= (10,000,000,000)^3

= 10,000,000,000 * 10,000,000 * 10,000,000

= 100,000,000,000,000,000 * 10,000,000

= 10^30


Therefore, your answer is: 10^30


Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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