Question

compute the following. give the answer in the exponential form.

Answer 1

$(i) {2}^{3} \times {2}^{6} = {2}^{3 + 6} \\ = {2}^{9}$
$(ii) {( - 4)}^{5} \times {( - 4)}^{2} = {( - 4)}^{5 + 2} \\ = {( -4)}^{7}$
$(iii) {3}^{4} \times {3}^{6} = {3}^{4 + 6} \\ = {3}^{10}$
$(iv) {( - 1)}^{5} \times {( - 1)}^{4} = {( - 1)}^{5 + 4} \\ = {( - 1)}^{9}$
I hope it helps you .

Answer 2

1) Compute the following. Give the answer in the exponential form.

(i) 2³ × 2⁶

=> ${2}^{3+6}$

=> 2⁹

(ii) (-4)⁵ × (-4)²

=> ${(-4)}^{5+2}$

=> (-4)⁷

(iii) 3⁴ × 3⁶

=> ${3}^{4+6}$

=> 3¹⁰

(iv) (-1)⁵ × (-1)⁴

=> ${(-1)}^{5+4}$

=> (-1)⁹

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