Question 81 (e)

Express each of the following in single exponential form.
$(- 3)^{3} \times (- 10)^{3}$

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Solution

We have, $(- 3)^{3} \times (- 10)^{3} = [(- 3) \times (- 10)]^{3} [∵ a^{m} \times b^{m} = (a \times b)^{m}] = (30)^{3} [∵ (- 3) \times (- 10) = 30]$

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Exponents with Like Bases

Standard VII Mathematics

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Question 81 (e) Express each of the following in single exponential form. (−3)3×(−10)3

We have, (−3)3×(−10)3=[(−3)×(−10)]3 [∵ am×bm=(a×b)m]=(30)3 [∵ (−3)×(−10)=30]

Question 81 (e)

Express each of the following in single exponential form.
$(- 3)^{3} \times (- 10)^{3}$

We have, $(- 3)^{3} \times (- 10)^{3} = [(- 3) \times (- 10)]^{3} [∵ a^{m} \times b^{m} = (a \times b)^{m}] = (30)^{3} [∵ (- 3) \times (- 10) = 30]$