4^-2 * 7^-2

asked by guest
on Jan 01, 2025 at 1:04 am



You asked:

Evaluate the expression: \({4}^{-2} \cdot {7}^{-2}\)

MathBot Answer:

\[{4}^{-2} \cdot {7}^{-2} = \frac{1}{784} = 0.0012\overline{755102040816326530612244897959183673469387}\]

\[\begin{aligned}{4}^{-2} \cdot {7}^{-2}& = \frac{1}{4^{2}} \cdot \frac{1}{7^{2}}\\& = \frac{1}{16} \cdot \frac{1}{7^{2}}\\& = \frac{1}{16} \cdot \frac{1}{49}\\& = \frac{1}{784}\end{aligned}\]

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