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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers2 Marks
Question
Using laws of exponent, simplify and write the answer in exponential form: $3^2 \times 3^4 \times 3^8$
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Answer

By the law of exponents, we have $x^m \times x^n=x^{m+n}$
By applying this rule, we have $3^2 \times 3^4=3^{2+4}=3^6$
$3^2 \times 3^4 \times 3^8=3^6 \times 3^8=3^{6+8}=3^{14}$
$3^2 \times 3^4 \times 3^8=3^{14}$

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