power rule with example
Answers
Answer:
1. x² x x³ = x^(2+3) (The two powers get added if their base which needs to be multiplied are the same).
2. x² ÷ x³ = x^(2-3) (The two powers get subtracted if their base which need to be divided are the same).
3. x² x y² = (xy)² (The two bases get multiplied if the powers are the same).
4. x^0 = 1 (Any number raised to zero will be one).
5. -z³ = (1/z)³ ( To convert a negative exponent to a positive exponent, we need to reciprocal it, the power remains undisturbed.
Ex: 1. 3² + 3³ = 3^(2+3) = 3^5
2. 5³ - 5² = 5^(3-2) = 5^1 or just 5
3. 9² x 3² = (9 x 3)² = 27²
4. 10985783^0 = 1
5. -765² = (1/765)²
There are many other exponential rules but these are the basic ones.
I have mostly used ² and ³ as powers because it is easy to represent them and so that you can understand what I mean.
Hope this helps...