Questions: Solve and show result in scientific notation (e.g 1.5 × 10^6 ). Do not round the coefficient. (2.9 × 10^-2) × (1.5 × 10^-3) =

Transcript text: Solve and show result in scientific notation (e.g $1.5 \times 10^{6}$ ). Do not round the coefficient. \[ \left(2.9 \times 10^{-2}\right) \times\left(1.5 \times 10^{-3}\right)= \]

Solution

To solve the given problem, we need to multiply the two numbers expressed in scientific notation. This involves multiplying the coefficients (2.9 and 1.5) and adding the exponents of 10 (-2 and -3). The result should be expressed in scientific notation.

Paso 1: Multiplicación de Coeficientes

Multiplicamos los coeficientes $2.9$ y $1.5$: \[ 2.9 \times 1.5 = 4.35 \]

Paso 2: Suma de Exponentes

Sumamos los exponentes $-2$ y $-3$: \[ -2 + (-3) = -5 \]

Paso 3: Expresión en Notación Científica

Combinamos el resultado de la multiplicación de coeficientes y la suma de exponentes en notación científica: \[ 4.35 \times 10^{-5} \]

Respuesta Final

$\boxed{4.35 \times 10^{-5}}$

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