How do you simplify positive and negative exponents?
https://www.youtube.com/watch?v=TKj8kEofbAw
What do you do if you have a positive exponent?
We know that an exponent refers to the number of times a number is multiplied by itself. For example, 32 = 3 × 3. In the case of positive exponents, we easily multiply the number (base) by itself, but what happens when we have negative numbers as exponents?
Can an exponent be negative?
A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.
Do exponents always have to be positive?
It does not have to be positive. It does not even have to be real. The base may have any complex value. If the value is real, then the exponential is real.
How do you do exponents with negative numbers?
https://www.youtube.com/watch?v=nGI3hZv4ssw
What are the rules for exponents?
The Power Rule for Exponents: (am)n = am*n. To raise a number with an exponent to a power, multiply the exponent times the power. Negative Exponent Rule: x–n = 1/xn. Invert the base to change a negative exponent into a positive.
What are the rules for positive exponents?
The Power Rule for Exponents For any positive number x and integers a and b: (xa)b=xa⋅b ( x a ) b = x a ⋅ b .
What are the 7 laws of exponents?
- Product of powers rule.
- Quotient of powers rule.
- Power of a power rule.
- Power of a product rule.
- Power of a quotient rule.
- Zero power rule.
- Negative exponent rule.
What are the 5 Laws of exponent?
- Multiplying Powers with same Base.
- Dividing Powers with the same Base.
- Power of a Power.
- Multiplying Powers with the same Exponents.
- Negative Exponents.
- Power with Exponent Zero.
- Fractional Exponent.