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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Rahul got $45$ marks and Ritu got $40$ marks out of $50$ in a mathematics test. Find the difference between their percentage marks.

Marks obtained by different students are represented using the bar graph. Find the difference between (a) Pratik's and Shubendu's marks (b) Rohan's and Gaurav's marks. [2 MARKS]

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$\frac{3^{8} \times 4^{5} \times 3^{2} \times 5^{4} \times 7^{5}}{3^{9} \times 4^{4} \times 7^{5}}$

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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]