Question 118Find the value of n-6n-6-2 - 63

Given, nbsp; 6^n/6^ 2 = 6^3 Using law of exponents, a^m/a^n = a^m n we get ,6^n ( 2) = 6^3 ⇒6^n+2 = 6^3 Since the nbsp; base is nbsp; same on both s ...

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Standard VII

Mathematics

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Question 118F...

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Question 118

Find the value of n.

$\frac{6^{n}}{6^{- 2}} = 6^{3}$

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Solution

Given, $\frac{6^{n}}{6^{- 2}} = 6^{3}$

Using law of exponents,

$\frac{a^{m}}{a^{n}} = a^{m - n}$

$w e g e t, 6^{n - (- 2)} = 6^{3}$

$\Rightarrow 6^{n + 2} = 6^{3}$

Since the base is same on both sides, we can equate the exponents.

$\Rightarrow n + 2 = 3 \Rightarrow n = 1$

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Standard VII Mathematics

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Question 118 Find the value of n. 6n6−2=63

Given, 6n6−2=63 Using law of exponents, aman=am−n we get ,6n−(−2)=63 ⇒6n+2=63 Since the base is same on both sides, we can equate the exponents. ⇒n+2=3⇒n=1

Question 118

Find the value of n.

$\frac{6^{n}}{6^{- 2}} = 6^{3}$

Given, $\frac{6^{n}}{6^{- 2}} = 6^{3}$

Using law of exponents,

$\frac{a^{m}}{a^{n}} = a^{m - n}$

$w e g e t, 6^{n - (- 2)} = 6^{3}$

$\Rightarrow 6^{n + 2} = 6^{3}$

Since the base is same on both sides, we can equate the exponents.

$\Rightarrow n + 2 = 3 \Rightarrow n = 1$