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Exponents: An exponent tells you how many times to multiply a number by itself. For example...
means 2 × 2 × 2 = 8.
The small number 3, (the exponent) shows how many times to use the big number (the base) in multiplication.
The base is the main number being multiplied. The base is 2.
Exponent: The exponent shows how many times to multiply the base by itself.
The exponent is 3, meaning you multiply 2 three times: 2 x 2 x 2 = 8
Power: The whole expression, 2^3, is called a "power." It can also refer to the result of the multiplication.
This is a power ➡️
Multiplying powers with the same base:
Multiplying powers with the same base:
When multiplying two powers with the same base, add the exponents. Count the number of bases.
Dividing powers with the same base - Easy Option
Dividing powers with the same base - Easy Option
Expand. Make ones and count the leftovers. Rewrite your answer as an exponent.
Dividing powers with the same base - Quotient Rule Option
Dividing powers with the same base - Quotient Rule Option
When dividing two powers with the same base, subtract the exponents.
Powers with different bases cannot play together. So sad.
Powers with different bases cannot play together. So sad.
To figure this out, do the math separately. See here: 👉🏿 👉🏿👉🏿👉🏿
Zero Exponent Rule:
Zero Exponent Rule:
Any non-zero number raised to the power of zero equals 1.
Negative Exponent Rule:
Negative Exponent Rule:
Negative exponents: A negative exponent means to take the reciprocal (or flip) of the base raised to the positive exponent.
Is this scenario, the -3 tells you to move the 2 under the fraction bar. Put 2 in the basement. Do the math in the basement.
Power of a Power Rule:
Power of a Power Rule:
When raising a power to another power, multiply the exponents.
Power of a Product Rule:
Power of a Product Rule:
When raising a product to an exponent, apply the exponent to each factor. For example,
Power of a quotient Rule:
Power of a quotient Rule:
When raising a quotient (division) to an exponent, apply the exponent to both the numerator and the denominator. For example,
Exponent Rules Summary:
Exponent Rules Summary:
These rules help simplify working with exponents and make solving problems faster!
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