Multiply Coefficients: To simplify the expression, we need to multiply the coefficients (numerical parts) together and apply the product rule for exponents, which states that when multiplying like bases, you add the exponents. The expression is (7x^3)(3x^7). First, multiply the coefficients: 7 * 3 = 21.Apply Product Rule for Exponents: Next, apply the product rule for exponents to the variable x: x^3 * x^7. Add the exponents: 3 + 7 = 10. So, x^3 * x^7 = x^(3+7) = x^10.Combine Results: Combine the results from the previous steps to get the final simplified expression: 21x^10.

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$(7x^3)(3x^7)=\Box$

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Algebra 2

Simplify variable expressions using properties

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(7x^3)(3x^7)=\Box

Multiply Coefficients: To simplify the expression, we need to multiply the coefficients (numerical parts) together and apply the product rule for exponents, which states that when multiplying like bases, you add the exponents. The expression is $(7x^3)(3x^7)$ . $\newline$ First, multiply the coefficients: $7 \times 3 = 21$ .
Apply Product Rule for Exponents: Next, apply the product rule for exponents to the variable $x$ : $x^3 \times x^7$ . Add the exponents: $3 + 7 = 10$ . So, $x^3 \times x^7 = x^{3+7} = x^{10}$ .
Combine Results: Combine the results from the previous steps to get the final simplified expression: $21x^{10}.$