Solve 1156 2n- 5 3-5 9- where n is the unit digit 28- 2 - n 2-32

1) 1562n ×5^3 = 5^9 ⇒ 1562n = 5^95^3 ⇒ 1562n = 5^9 3 ⇒ 1562n = 5^6 ⇒ 1562n = 15625 Comparing both sides, we get n = 5 Also, ...

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Byju's Answer

Standard VIII

Mathematics

Division of a Polynomial by a Polynomial

Solve 1156 2...

Question

Solve
$1) 156 2 n \times 5^{3} = 5^{9}$ , where $n$ is the unit digit
$2) 8 \times 2 \times n^{2} = 32$

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Solution

$1) 1562 n \times 5^{3} = 5^{9}$
$\Rightarrow 1562 n = \frac{5^{9}}{5^{3}}$
$\Rightarrow 1562 n = 5^{9 - 3}$
$\Rightarrow 1562 n = 5^{6}$
$\Rightarrow 1562 n = 15625$
Comparing both sides, we get
$n = 5$
Also,
$2) 8 \times 2 n^{2} = 32$
$\Rightarrow 2 n^{2} = \frac{32}{8}$
$\Rightarrow n^{2} = \frac{4}{2}$
$\Rightarrow n = \sqrt{2}$

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Solve1)1562n×53=59, where n is the unit digit2)8×2×n2=32

1)1562n×53=59⇒1562n=5953⇒1562n=59−3⇒1562n=56⇒1562n=15625Comparing both sides, we getn=5Also,2)8×2n2=32⇒2n2=328⇒n2=42⇒n=√2

Solve
$1) 156 2 n \times 5^{3} = 5^{9}$ , where $n$ is the unit digit
$2) 8 \times 2 \times n^{2} = 32$