Question

(20)³ ÷ 10-⁴

calculate the powers by using the laws of exponents​

Answer 1

`\large\boxed{\bf\:80000000 }`

Explanation:

`\sf\: (20) ^ { 3 } / 10 ^ { -4 }`

According to the law of exponents ⟶
`\bf\:a^(- \: b) = (1)/(a^(b))`. Then,

`\sf\:(20) ^ { 3 } / 10 ^ { -4 } \\\sf\:= (20) ^ { 3 } / (1)/(10^(4))\\\sf\: = 20^(3) * 10^(4)`

Now, by solving...

`\sf\:20^(3) * 10^(4)\\\sf\:= (20 * 20 * 20) * (10 * 10 * 10 * 10)\\\sf\:= 8000 * 10000\\= \boxed{\bf\:80000000 }`

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