Hilton Davies
06/09/2023 · Middle School
Select all the expressions that are equivalent to \( 8^{9} \cdot 8^{2} \)
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Step-by-step Solution
To find the expressions that are equivalent to \( 8^{9} \cdot 8^{2} \), we can use the property of exponents which states that when multiplying two numbers with the same base, we add the exponents.
Given expression: \( 8^{9} \cdot 8^{2} \)
Using the property of exponents, we can simplify this expression as follows:
\( 8^{9} \cdot 8^{2} = 8^{9+2} = 8^{11} \)
Therefore, the expression \( 8^{9} \cdot 8^{2} \) is equivalent to \( 8^{11} \).
The expressions that are equivalent to \( 8^{9} \cdot 8^{2} \) are:
1. \( 8^{11} \)
Quick Answer
\( 8^{11} \)
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