Evaluate. Write your answer as a whole number or as a simplified fraction.
10⁻¹ ⋅ 6⁰ =
Answer options:
A) 0.1
B) 6
C) 60
D) 6.0
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To evaluate the expression ( 10^{-1} cdot 6^{0} ):
1. Recall that ( 6^{0} = 1 ) (any non-zero number raised to the power of zero is 1).
2. Now substitute: ( 10^{-1} cdot 1 ).
3. ( 10^{-1} ) is the same as ( frac{1}{10} ) or 0.1.
Therefore, the expression simplifies to:
( 10^{-1} cdot 6^{0} = 0.1 ).
The correct answer is A) 0.1.
To evaluate the expression (10^{-1} cdot 6^{0}), we start with simplifying each part:
1. (10^{-1}) means the same as (frac{1}{10}), which equals (0.1).
2. (6^{0}) is equal to (1) because any number to the power of (0) is (1).
Now combine them:
[
10^{-1} cdot 6^{0} = 0.1 cdot 1 = 0.1
]
Thus, the answer is:
A) 0.1
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