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Exponential Functions

From compound interest to bubonic plague, things that grow or spread really fast are often modeled by exponential functions. Learn about these powerful functions (pun intended?).

Negative Exponents - Numerical


Find the value of \(3^{-3}\).

What is the value of \( (-4)^{-2} \)?

What is the value of the following expression:

\[ 5^{-1} \times 2^3 \times 3^{-2} ? \]

Scientific notation has two parts: a number (say \(a\)) between one and ten, and that number multiplied by ten raised to the power \(b,\) where \(b\) is a non-zero integer: e.g. \( a \times 10^{b}, \) where \(1 \le a<10 \).

Find the value of \(a\) when you simplify the following expression in scientific notation to two decimal points:

\[(4.7 \times 10^{-3}) \times (6.1 \times 10^{9}). \]

Find the value of \( \left( \frac{1}{4} \right)^{-2} \).


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