Simplify. Express your answer using positive exponents.
4m^0
4m^−5
Simplify. Express your answer using positive exponents. 4m^0 4m^−5
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Simplify. Express your answer using positive exponents.
4m^0
4m^−5
To simplify the expression ( 4m^0 cdot 4m^{-5} ), we can follow these steps:
1. Understand Exponents: The term ( m^0 ) equals 1 for any non-zero ( m ). Therefore, ( 4m^0 = 4 ).
2. Apply the Product of Powers Rule: When multiplying terms with the same base, you add the exponents. Here, we combine the two parts:
[
4 cdot (4m^{-5}) = 4 cdot 4 cdot m^{-5} = 16m^{-5}
]
3. Convert Negative Exponent to Positive: Recall that ( m^{-n} = frac{1}{m^n} ). Hence,
[
16m^{-5} = frac{16}{m^5}
]
So, the simplified expression is:
[
frac{16}{m^5}
]
This answer is expressed using positive exponents. Great job on wanting to simplify! If you have more questions or need further clarification, feel free to ask!