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

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Solution

IIt is known that $a^{m} \times a^{n} = a^{m + n}$ and $\frac{a^{m}}{a^{n}} = a^{m - n}$
We have,
(i) $3^{2} \times 3^{4} \times 3^{8} = 3^{2 + 4 + 8} = 3^{14}$ .[ Using product rule]
(ii) $\frac{6^{15}}{6^{10}} = 6^{15 - 10} = 6^{5}$ . [ Using quotient rule]

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(iv) 7^x× 7² (v) (vi) 2⁵ × 5⁵

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

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

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

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

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

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

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