4^-2 * 7^-2

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



You asked:

Evaluate the expression: 4−2⋅7−2{4}^{-2} \cdot {7}^{-2}

MathBot Answer:

4−2⋅7−2=1784=0.0012755102040816326530612244897959183673469387‾{4}^{-2} \cdot {7}^{-2} = \frac{1}{784} = 0.0012\overline{755102040816326530612244897959183673469387}

4−2⋅7−2=116⋅7−2=116⋅149=1784\begin{aligned}{4}^{-2} \cdot {7}^{-2}&=\frac{1}{16} \cdot {7}^{-2}\\&=\frac{1}{16} \cdot \frac{1}{49}\\&=\frac{1}{784}\end{aligned}

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