Mathematics: If a is a real number and m and n are positive integers, then (continued in photo) true or false?

If a is a real number and m and n are positive

layshjjbradshaw7250

05.01.2022

ANSWER

False

EXPLANATION

is a real number and m and n are positive integers, Then,

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

${a}^{ \frac{m}{n} } \ne \sqrt[n]{ {a}^{m} } \ne ({ \sqrt[m]{a} })^{n}$

For instance,

${8}^{ \frac{2}{3} } = \sqrt[3]{ {8}^{2} } = ({ \sqrt[3]{8} })^{2} = 4$

${8}^{ \frac{2}{3} } \ne\sqrt[2]{ {8}^{3} } \ne ({ \sqrt[2]{8} })^{3} \ne4$

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jossfajardo50

09.12.2022

1h 22m

Step-by-step explanation:

Because 1/4 of an hour is 15m and 15X5=75 or 1h and 15m

then 1/3 of a lap would just be 33% of 15m which is 6.6m or round that up to 7 so 1h and 15m + 7m= 1h and 22m

hope that helped.

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