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Simplify. 8^–2 • 8^14 A. 8^12 B. 8^–28 C. 8^–7 D. 8^16
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This is the rule of exponents you need for this problem. \(a^m \cdot a^n = a^{m + n} \)
ADD THE EXPONENTS.
Example: \(5^{-3} \cdot 5^{13} = 5^{-3 + 13} = 5^{10} \)
When you have a multiplication (like the one that's showing), then you add. When you have a division you subtract. Multiply = Add Divide = Subtract
\(\Huge\color{blue}{ \bf a^b \times a^{c}=a^{b+c} }\) your a is 8, your b is -2, your c is 14.
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okay, thank you :)
You're welcome.
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