Question

Write the following in the exponential form:
(i) b × b × b × ... 15 times
(ii) y × y × y × ... 20 times
(iii) 14 × a × a × a × a × b × b × b
(iv) 6 × x × x × y × y
(v) 3 × z × z × z × y × y × x

Answer 1

(i) b × b × b × ... 15 times = ${\mathbf{b}}^{\mathbf{15}}$
(ii) y × y × y × ... 20 times = ${\mathbf{y}}^{\mathbf{20}}$
(iii) 14 × a × a × a × a × b × b × b = $14\times (\mathrm{a}\times \mathrm{a}\times \mathrm{a}\times a)\times (\mathrm{b}\times \mathrm{b}\times b)=\mathbf{14}{\mathbf{a}}^{\mathbf{4}}{\mathbf{b}}^{\mathbf{3}}$
(iv) 6 × x × x × y × y = $6\times (\mathrm{x}\times x)\times (y\times y)=\mathbf{6}{\mathbf{x}}^{\mathbf{2}}{\mathbf{y}}^{\mathbf{2}}$
(v) 3 × z × z × z × y × y × x = $3\times (\mathrm{z}\times \mathrm{z}\times z)\times (\mathrm{y}\times y)\times x=\mathbf{3}{\mathbf{z}}^{\mathbf{3}}{\mathbf{y}}^{\mathbf{2}}\mathbf{x}$