Power rule
Key Notes :
Power Rule (Exponentiation Rule)
The Power Rule is a fundamental rule in algebra that deals with exponents. It states how to simplify expressions involving powers of numbers or variables. It is used when multiplying powers with the same base.
Formula:
If a is any non-zero number and m and n are positive integers, then the Power Rule states:
This means that when multiplying powers with the same base, add the exponents.
Learn with an example
Simplify. Express your answer using a single exponent.
(v6)8
The expression v6 is raised to the power of 8. Multiply the exponents.
(v6)8 = v6.8 —->Simplify (v6)8 , remembering to multiply the exponents
=v48 —->Multiply
Simplify. Express your answer using a single exponent.
(v6)5
The expression v6 is raised to the power of 5. Multiply the exponents.
(v6)5 = v6.5 —->Simplify (v6)5 , remembering to multiply the exponents
=v30 —->Multiply
Simplify. Express your answer using a single exponent.
(v2)5
The expression v2 is raised to the power of 5. Multiply the exponents.
(v2)5 = v2.5 —->Simplify (v2)5 , remembering to multiply the exponents
=v10 —->Multiply
Let’s practice!🖊️