Perform the operation and simplify the answer fully. (x^(2))/(2)*(4x^(2))/(7) Answer:

Multiply Fractions: Multiply the numerators and the denominators separately. We have two fractions being multiplied together. When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. (x^2 * 4x^2) / (2 * 7)Simplify Numerators: Simplify the multiplication of the numerators. To multiply the numerators, we use the property of exponents that states when multiplying like bases, we add the exponents. (x^2 * 4x^2) = 4x^(2+2) = 4x^4Simplify Denominators: Simplify the multiplication of the denominators. The denominators are just numbers, so we multiply them as usual. (2 * 7) = 14Write Final Expression: Write the simplified expression. Now we combine the simplified numerator and denominator to form the final expression. (4x^4) / 14Simplify Fraction: Simplify the fraction if possible. In this case, the fraction (4x^4) / 14 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. (4x^4) / 14 = (2 * 2x^4) / (2 * 7) = (2x^4) / 7

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Perform the operation and simplify the answer fully.

(x^(2))/(2)*(4x^(2))/(7)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{x^{2}}{2} \cdot \frac{4 x^{2}}{7}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Perform the operation and simplify the answer fully.

\newline

\frac{x^{2}}{2} \cdot \frac{4 x^{2}}{7}

\newline

Answer:

Multiply Fractions: Multiply the numerators and the denominators separately. $\newline$ We have two fractions being multiplied together. When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. $\newline$ $\frac{x^2 \times 4x^2}{2 \times 7}$
Simplify Numerators: Simplify the multiplication of the numerators. $\newline$ To multiply the numerators, we use the property of exponents that states when multiplying like bases, we add the exponents. $\newline$ $(x^2 \times 4x^2) = 4x^{(2+2)} = 4x^4$
Simplify Denominators: Simplify the multiplication of the denominators. $\newline$ The denominators are just numbers, so we multiply them as usual. $\newline$ $(2 \times 7) = 14$
Write Final Expression: Write the simplified expression. $\newline$ Now we combine the simplified numerator and denominator to form the final expression. $\newline$ $(4x^4) / 14$
Simplify Fraction: Simplify the fraction if possible. $\newline$ In this case, the fraction $(4x^4) / 14$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $(4x^4) / 14 = (2 \times 2x^4) / (2 \times 7) = (2x^4) / 7$