Exponent rules (or laws of exponents) are essential shortcuts for simplifying expressions involving powers. These rules allow you to combine and manipulate variables and numbers with exponents efficiently.
When multiplying two powers with the same base, keep the base and add the exponents. Example: xΒ² * xΒ³ = xβ΅
When dividing two powers with the same base, keep the base and subtract the exponents. Example: xβ΅ / xΒ² = xΒ³
When raising a power to another power, keep the base and multiply the exponents. Example: (xΒ²)Β³ = xβΆ
Any non-zero base raised to the power of zero is always 1. Example: 5β° = 1, xβ° = 1
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