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Law 2 Division of Exponents

Concept Explanation

Law 2 Division of Exponents

If we have to divide the powers which have the same base then we have to subtract the exponents. i.e.

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

Example:

$1.;;frac{7^9}{7^3}=7^{9-3}=7^6$

$2.;; frac{8^5}{8^7}=8^{5-7}=8^-^2=frac{1}{8^2}$

$3. ;; frac{8^5}{2^4}=frac{(2^3)^5}{2^4}=frac{2^1^5}{2^4}=2^{15-4}=2^1^1$

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Sample Questions

(More Questions for each concept available in Login)

Question : 1

The value of $(-1/3)^{-2}$ is________.
A. 1	B. 19	C. 9	D. 7
Right Option : C
View Explanation

Question : 2

For and two non-zero rational number a and b, $large a^4 div b^4$ is equal to _____________________
A. $large (a div b)^1$		B. $large (a div b)^0$
C. $large (a div b)^4$		D. $large (a div b)^8$
Right Option : C
View Explanation

Question : 3

$large begin{pmatrix}frac{-2}{5} end{pmatrix}^7divbegin{pmatrix} frac{-2}{5}end{pmatrix}^5$ is equal to ______________________
A. $large frac{4}{25}$	B. $large frac{-4}{25}$	C. $large begin{pmatrix}frac{-2}{5} end{pmatrix}^{12}$	D. $large frac{25}{4}$
Right Option : A
View Explanation

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Chapters

Permutation and Combination

Problems On Boats And Stream

Rules For Divisibility

Number Theory

HCF And LCM

Cube and Cube Roots

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