We have been given three numbers 6.25, −3 3/8 and 5 4/9.
Now we need to convert them into a square or a cube of some other number.
Answer 1):
6.25
Multiply and divide by 100 to convert into fraction
[tex]\frac{625}{100}[/tex]
convert into exponent form
[tex]=\frac{25^2}{10^2}[/tex]
[tex]=\left(\frac{25}{10}\right)^2[/tex]
[tex]=\left(2.5\right)^2[/tex]
Hence final answer is [tex]\left(2.5\right)^2[/tex]
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Answer 2):
[tex]-3\ \frac{3}{8}[/tex]
[tex]=-\frac{3\cdot8+3}{8}[/tex]
[tex]=-\frac{24+3}{8}[/tex]
[tex]=-\frac{27}{8}[/tex]
[tex]=-\frac{3^3}{2^3}[/tex]
[tex]=-\left(\frac{3}{2}\right)^3[/tex]
Hence final answer is [tex]-\left(\frac{3}{2}\right)^3[/tex]
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Answer 3):
[tex]5\ \frac{4}{9}[/tex]
[tex]=\frac{5\cdot9+4}{9}[/tex]
[tex]=\frac{45+4}{9}[/tex]
[tex]=\frac{49}{9}[/tex]
[tex]=\frac{7^2}{3^2}[/tex]
[tex]=\left(\frac{7}{3}\right)^2[/tex]
Hence final answer is [tex]\left(\frac{7}{3}\right)^2[/tex]
