Question

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Answer 1

Step-by-step explanation:

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Answer 2

Question :-

• $\sf{a^m \times a^n = ?}$

Solution :-

$\mapsto$ $\sf{a^m \times a^n~=~a^{m + n}}$

Know more :-

Laws of Indices :-

1. Product law

• If bases are same and multiplication sign is there then powers are added.

• For example :-
• $\sf{x^2 \times x^3~=~x^5}$

2. Quotient Law

• If numerator and denominator are same then powers are subtracted.

• For example :-
• $\sf\dfrac{a^3}{a^2}$
• $\mapsto$ $\sf{a^{3 - 2}}$
• $\sf{a^1}$

3. Power law

• Here, for example :- = $\sf{( {x}^{2})^3}$
• So, powers will multiply.
• = $\sf{{x}^{6}}$