Question

Using laws of exponents, simplify and write the answer in exponential form:
(i) 2³ × 2⁴ × 2⁵

(ii) 5¹² ÷ 5³

(iii) (7²)³

(iv) (3²)⁵ ÷ 3⁴

(v) 3⁷ × 2⁷

(vi) (5²¹÷ 5¹³) × 5

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Answer 1

$1) {2}^{3 + 4 + 5} \\ = {2}^{12} \\ 2) \frac{ {5}^{12} }{ {5}^{3} } \\ = {5}^{12 - 3} = {5}^{9} \\ 3) { {7}^{2} }^{3} \\ = {7}^{ 6 } \\ 4) { {3}^{2} }^{5} \div {3}^{4} \\ = {3}^{10} \div {3}^{4} = {3}^{10 - 4} = {3}^{6}$

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