Question

Simplify and express the result with positive exponent:
(i). 0.001 × 10^4 × 10^-10
(ii) 3^2 (3^-1a×3^2a^2)


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Answer 1

Answer:

Simplify \: and \: express \: the \: result \: with \: positive \: exponent: \\

Simplify \: and \: express \: the \: result \: with \: positive \: exponent: \\ (i). 0.001 × 10^4 × 10^-10 \\ = \frac{1}{1000} \times \frac{ {10}^{4} }{ {10}^{ 10} } \\ = \frac{1}{ {10}^{9} } \\

Simplify \: and \: express \: the \: result \: with \: positive \: exponent: \\ (i). 0.001 × 10^4 × 10^-10 \\ = \frac{1}{1000} \times \frac{ {10}^{4} }{ {10}^{ 10} } \\ = \frac{1}{ {10}^{9} } \\ (ii) 3^2 (3^-1a×3^2a^2) \\ = 9 (3 -{3}^{2}{a}^{3}) \\ =9(3 - 9 {a}^{3} ) \\ = 27 - 81 {a}^{3}