aidanmajor02
aidanmajor02 aidanmajor02
  • 04-03-2022
  • Mathematics
contestada

(20)³ ÷ 10-⁴

calculate the powers by using the laws of exponents​

Respuesta :

ᴜᴋɪʏᴏ
ᴜᴋɪʏᴏ ᴜᴋɪʏᴏ
  • 04-03-2022

Answer:

[tex]\large\boxed{\bf\:80000000 }[/tex]

Step-by-step explanation:

[tex]\sf\: (20) ^ { 3 } \div 10 ^ { -4 }[/tex]

According to the law of exponents ⟶ [tex]\bf\:a^{- \: b} = \frac{1}{a^{b}}[/tex]. Then,

[tex]\sf\:(20) ^ { 3 } \div 10 ^ { -4 } \\\sf\:= (20) ^ { 3 } \div \frac{1}{10^{4}}\\\sf\: = 20^{3} * 10^{4}[/tex]

Now, by solving...

[tex]\sf\:20^{3} * 10^{4}\\\sf\:= (20 * 20 * 20) * (10 * 10 * 10 * 10)\\\sf\:= 8000 * 10000\\= \boxed{\bf\:80000000 }[/tex]

_____________

Have a great day ahead!

Answer Link

Otras preguntas

PROJECT: SUMMARIZE IT! The ability to summarize information is a vital component to understanding the information you read in your coursework. To summarize info
Jocelyn complied data on the number of hours students work per week the summer after senior year. The minimum number of hours is the distribution was 23. The ra
Determine the solution for 72 = 3(5b − 1). b = 3.5 b = 4.6 b = 5 b = 14.2
Any gîrls here interested in zööm
Convert the population of Texas to Scientific notation. There are 28,000,000 people living in Texas.
Any gïrls here free to talk
Any gîrls here free to talk
Plants store _____ energy in their tissues. A mechanical B heat C light D chemical
DONT delete my question or else!!! AM i a awful person??
To apply for a job at the new store in the mole. is this a fragmentation sentence ​