Using laws of exponents, simplify and write the answer in exponential form:
(i) $3^{2} \times 3^{4} \times 3^{8}$
(ii) $6^{15} \div 6^{10}$
(iii) $a^{3} \times a^{2}$

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Solution

(i) $3^{2} \times 3^{4} \times 3^{8}$ = $3^{2 + 4 + 8} = 3^{14}$

(ii) $6^{15} \div 6^{10} = 6^{15 - 10} = 6^{5}$

(iii) $a^{3} \times a^{2} = a^{3 + 2} = a^{5}$

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Similar questions

Using laws of exponents, simplify and write the answer in exponential form:

(i) 3² × 3⁴ × 3⁸ (ii) 6¹⁵ ÷ 6¹⁰ (iii) a³ × a²

(iv) 7^x× 7² (v) (vi) 2⁵ × 5⁵

(vii) a⁴ × b⁴ (viii) (3⁴)³

(ix) (x) 8^t ÷ 8²

Question 1(i)
Using laws of exponents, simplify and write the answer in exponential form:
(i) $3^{2} \times 3^{4} \times 3^{8}$

6^{15} \div 6^{10}

7^{x} \times 7^{2}

2^{5} \times 5^{5}

a^{4} \times b^{4}

Question 1(ii)
Using laws of exponents, simplify and write the answer in exponential form:
(ii) $6^{15} \div 6^{10}$

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