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3 years ago

Please show your work for this

Mathematics

1 answer:

rewona [7]3 years ago

3 0

Answer:

uhhhhhh ill thibk abouyt it

Step-by-step explanation:

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Please help!! 10 points

hichkok12 [17]

Answer:

We conclude that:

$\:\sqrt[3]{200k^{15}}=2k^5\sqrt[3]{25}$

Hence, option B is correct.

Step-by-step explanation:

Given the expression

$\sqrt[3]{200k^{15}}$

Apply radical rule:

$\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

so the expression becomes

$\sqrt[3]{200k^{15}}=\sqrt[3]{200}\sqrt[3]{k^{15}}$

first solving

$\sqrt[3]{k^{15}}$

Apply radical rule: $\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0$

$\sqrt[3]{k^{15}}=k^{\frac{15}{3}}=k^5$

then solving

$\sqrt[3]{200}$

prime factorization: 200: 2³ · 5²

$=\sqrt[3]{2^3\cdot \:5^2}$

Apply radical rule:

$\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt[3]{2^3}\sqrt[3]{5^2}$

Apply radical rule:

$\sqrt[n]{a^n}=a,\:\quad \:a\ge 0$

$=2\sqrt[3]{5^2}$

Thus, the main expression becomes

$\sqrt[3]{200k^{15}}=\sqrt[3]{200}\sqrt[3]{k^{15}}$

$=2k^5\sqrt[3]{25}$

Therefore, we conclude that:

$\:\sqrt[3]{200k^{15}}=2k^5\sqrt[3]{25}$

Hence, option B is correct.

3 0

3 years ago

8 hr= how many min???<br> Please help fast!

aleksklad [387]

The answer is 8h=480min

6 0

3 years ago

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YOU MUST FOLLOW THE WORD PROBLEM 5 STEP PROCESS

madreJ [45]

Answer:

$10,100 000,000.006 but it says round to the dollar so it is $10,100 000,000

Step-by-step explanation:

136/100 × $7,426,470,588.24

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2 years ago

How to do this problem 2 + 1/8 - 1 1/3

Svetllana [295]

17/8 -11/3
51/24-88/24
-37/24 simplified is -1 13/24

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3 years ago

Kalvin tosses a coin five days in a row and gets tails every time. Do you think there is something wrong with the coin? How can

riadik2000 [5.3K]

I don’t think there is anything wrong with the coming there is just a 50% chance that It would land on tails and there’s a 50% chance that it will land on heads ‍♀️☺️

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4 years ago