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marusya05 [52]
4 years ago
15

Somebody else has to comment for me to Mark u as BRAINLIEST!! It won't let me

Mathematics
1 answer:
Katyanochek1 [597]4 years ago
7 0

Answer:

7.5 is the difference

Step-by-step explanation:

basketball mean

(13+22+23+24+36+37+42+43+58+69) ÷10 = 36.7

tennis mean

(14+23+24+38+47+48+57+58+66+67) ÷10 = 44.2

tennis mean - basketball mean

44.2 - 36.7= 7.5

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\sqrt[7]{x^{4}}

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(\sqrt[7]{x})^{4}

Step-by-step explanation:

we have

x^{\frac{4}{7}}

Remember the properties

\sqrt[n]{a^{m}}=a^{\frac{m}{n}}

(a^m)^{n}=a^{m*n}

so

<u><em>Verify each case</em></u>

Part 1) we have

\sqrt[4]{x^{7}}

we know that

\sqrt[4]{x^{7}}=x^{\frac{7}{4}}

Compare with the given expression

x^{\frac{7}{4}} \neq x^{\frac{4}{7}}

Part 2) we have

\sqrt[7]{x^{4}}

we know that

\sqrt[7]{x^{4}}=x^{\frac{4}{7}}

Compare with the given expression

x^{\frac{4}{7}} = x^{\frac{4}{7}}

therefore

Is equivalent to the given expression

Part 3) we have

(x^{\frac{1}{7}})^{4}

we know that

(x^{\frac{1}{7}})^{4}=x^{\frac{4}{7}}

Compare with the given expression

x^{\frac{4}{7}} = x^{\frac{4}{7}}

therefore

Is equivalent to the given expression

Part 4) we have

(x^{\frac{1}{4}})^{7}                      

we know that

(x^{\frac{1}{4}})^{7}=x^{\frac{7}{4}}

Compare with the given expression

x^{\frac{7}{4}} \neq x^{\frac{4}{7}}

Part 5) we have

(\sqrt[4]{x})^{7}

we know that

(\sqrt[4]{x})^{7}=(x^{\frac{1}{4}})^{7}=x^{\frac{7}{4}}

Compare with the given expression

x^{\frac{7}{4}} \neq x^{\frac{4}{7}}

Part 6) we have

(\sqrt[7]{x})^{4}

we know that

(\sqrt[7]{x})^{4}=(x^{\frac{1}{7}})^{4}=x^{\frac{4}{7}}

Compare with the given expression

x^{\frac{4}{7}} = x^{\frac{4}{7}}

therefore

Is equivalent to the given expression

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