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You don't solve it!!! It is a method of manipulation of indices.

a^(n) X a^(m) = a^(n+m)

Similarly,

a^(n) / a^(m) = a^(n-m)

[a^(n)]^(m) = a^(nm)

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lenpollock

Lvl 16
5mo ago

What else can I help you with?

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The five laws of exponents are: Product of Powers: ( a^m \times a^n = a^{m+n} ) — When multiplying like bases, add the exponents. Quotient of Powers: ( \frac{a^m}{a^n} = a^{m-n} ) — When dividing like bases, subtract the exponents. Power of a Power: ( (a^m)^n = a^{m \times n} ) — When raising a power to another power, multiply the exponents. Power of a Product: ( (ab)^n = a^n \times b^n ) — Distribute the exponent to each factor inside the parentheses. Power of a Quotient: ( \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} ) — Distribute the exponent to the numerator and denominator.


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