Subjects algebra

Exponents 69E3Af

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1. The problem is to understand and work with exponents (eksponente). 2. The basic formula for exponents is $a^n = a \times a \times \cdots \times a$ (n times), where $a$ is the base and $n$ is the exponent. 3. Important rules include: - $a^m \times a^n = a^{m+n}$ - $\frac{a^m}{a^n} = a^{m-n}$ - $(a^m)^n = a^{m \times n}$ - $a^0 = 1$ (if $a \neq 0$) 4. Example: Simplify $2^3 \times 2^4$. 5. Using the rule $a^m \times a^n = a^{m+n}$, we get: $$2^3 \times 2^4 = 2^{3+4} = 2^7$$ 6. Calculate $2^7$: $$2^7 = 128$$ 7. Final answer: $128$