Answer :
a) -2407 = -7 x -7 x -7 x -7 = (7/4) ^4
-256 -4 x -4 x -4 x -4
b) 1 = 1 x 1x 1 x 1 x 1 = (1/3) ^5
243 3 x 3 x 3 x 3 x 3
-256 -4 x -4 x -4 x -4
b) 1 = 1 x 1x 1 x 1 x 1 = (1/3) ^5
243 3 x 3 x 3 x 3 x 3
a) [tex](\frac{7}{4})^{4}[/tex]
b) [tex](\frac{1}{3})^{5}[/tex]
Step-by-step explanation:
We have,
a) [tex]\dfrac{-2401}{-256}[/tex]
[tex]=\dfrac{2401}{256}[/tex]
[tex]=\dfrac{7\times 7\times 7\times 7}{4\times 4\times 4\times 4}[/tex]
[tex]=\dfrac{7^{4} }{4^{4} }[/tex]
[tex]=(\frac{7}{4})^{4}[/tex]
b) [tex]\dfrac{1}{243}[/tex]
[tex]=\dfrac{1\times 1\times 1\times 1 \times 1}{3\times 3\times 3\times 3 \times 3}[/tex]
[tex]=\dfrac{1^{5} }{3^{5} }[/tex]
[tex]=(\frac{1}{3})^{5}[/tex]