Question

Simplify the following expression, and rewrite it in an equivalent form with positive exponents: − 672/1824

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Use scientific notation to multiply the following two numbers. Express the answer using scientific notation; retain all non-zero decimal places: (1.9×10⁴)×(8.4×10⁵)
a) -19/7 1.596×10¹⁰

b) 19/7 1.596×10¹⁰

c) −19/7 1.596×10⁹

d) 19/7, 1.596×10⁹

Answer 1

To simplify the expression -672/1824 and rewrite it in an equivalent form with positive exponents, we need to convert the negative exponents to positive exponents. To multiply two numbers in scientific notation, we multiply the coefficients and add the exponents.

Step-by-step explanation:

To simplify the expression -672/1824 and rewrite it in an equivalent form with positive exponents, we need to convert the negative exponents to positive exponents. In this case, we have -672/1824, which can be simplified to -7/19. To rewrite it with positive exponents, we can rewrite -7/19 as 1/(-7/19). Inverting the fraction gives us -19/7, which is the equivalent form with positive exponents.

To multiply two numbers in scientific notation, we multiply the coefficients and add the exponents. In this case, we have (1.9 × 10⁴) × (8.4 × 10⁵). Multiplying the coefficients gives us 1.9 × 8.4 = 15.96. Adding the exponents gives us 4 + 5 = 9. Therefore, the answer is 1.596 × 10⁹.