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

What role did lu bang play in the Han dynasty
Rapacious (adjective) in a sentence.
cd sales at corner music increased 145% last year. which number is equivalent to 145%? 14,500 145 1.45 0.0145
the chart shows the lenght of each student's pencil. Which person has a pencil lenght that can be rounded up to the nearest tenth of an inch?
there a 4 muffins on each plate. there are 0 plates of lemon muffins. how many lemon muffins are there?
what is the value of the expression 8−2 ? 116 64 −16 164
What is 2 fifths of 450?
Which conversion factors are used to convert 18 cm/s to meters per minute? Select each correct answer.1. 1m/100cm2. 100cm/1m3. 1 min/60s4. 60s/1min
If five notebooks cost $5.25 how much do three notebooks cost show work
Which of the following is the contrapositive of the statement "If I can afford the airfare, then I will purchase a nonstop flight"?