Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers2 Marks
Question
Write exponential form for $8 \times 8 \times 8 \times 8$ taking base as $2.$
✓
Answer
We have, $8 \times 8 \times 8 \times 8=8^4$
But we know that $8=2 \times 2 \times 2=2^3$
Therefore $8^4=\left(2^3\right) 4=2^3 \times 2^3 \times 2^3 \times 2^3$
$=2^{3 \times 4}[$ You may also use $(\mathrm{am})^n=\mathrm{am}^{\mathrm{n}} ]$
$=2^{12}$
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