Find the difference between $4^{5}$ and $5^{4}$ ? [2 MARKS]

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Solution

Steps: 1 Mark
Answer: 1 Mark

$4^{5} = (4) \times (4) \times (4) \times (4) \times (4)$

$\Rightarrow 4^{5} = 1024$

$5^{4} = (5) \times (5) \times (5) \times (5)$

$\Rightarrow 5^{4} = 625$

The difference between $4^{5}$ and $5^{4}$ is

$4^{5} - 5^{4} = 1024 - 625$

$\Rightarrow 4^{5} - 5^{4} = 399$
The difference between $4^{5}$ and $5^{4}$ is $399$ .

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Find the difference between 45 and 54? [2 MARKS]

Steps: 1 Mark Answer: 1 Mark 45=(4)×(4)×(4)×(4)×(4) ⇒45=1024 54=(5)×(5)×(5)×(5) ⇒54=625 The difference between 45 and 54 is 45−54=1024−625 ⇒45−54=399 The difference between 45 and 54 is 399.

Find the difference between $4^{5}$ and $5^{4}$ ? [2 MARKS]