Answer :
To simplify the expression
[tex]$$4x\left(7x^2\right),$$[/tex]
follow these steps:
1. Multiply the numerical coefficients:
[tex]$$4 \times 7 = 28.$$[/tex]
2. Multiply the variable terms. Remember that when multiplying powers with the same base, we add the exponents. Here, the exponent on the first [tex]\(x\)[/tex] is 1 (since [tex]\(x = x^1\)[/tex]) and the exponent on the second term is 2:
[tex]$$x^1 \times x^2 = x^{1+2} = x^3.$$[/tex]
3. Combine the results:
[tex]$$28 \cdot x^3 = 28x^3.$$[/tex]
Thus, the simplified expression is
[tex]$$\boxed{28x^3}.$$[/tex]
[tex]$$4x\left(7x^2\right),$$[/tex]
follow these steps:
1. Multiply the numerical coefficients:
[tex]$$4 \times 7 = 28.$$[/tex]
2. Multiply the variable terms. Remember that when multiplying powers with the same base, we add the exponents. Here, the exponent on the first [tex]\(x\)[/tex] is 1 (since [tex]\(x = x^1\)[/tex]) and the exponent on the second term is 2:
[tex]$$x^1 \times x^2 = x^{1+2} = x^3.$$[/tex]
3. Combine the results:
[tex]$$28 \cdot x^3 = 28x^3.$$[/tex]
Thus, the simplified expression is
[tex]$$\boxed{28x^3}.$$[/tex]
