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Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
Question
The expression for $8^{-2}$ as a power with the base $2$ is _________.
✓

Answer

Given,
$8^{-2}$,  Where we can write $8 = 2 \times 2 \times 2$
$\therefore(2 \times 2 \times 2)^{-2}=(2)^{3 \times(-2)}=(2)^{-6}$
Hence,
$8^{-2}=(2)^{-6}$

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