aidanmajor02
Answered

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(20)³ ÷ 10-⁴

calculate the powers by using the laws of exponents​

Sagot :

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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]

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