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x^(7)*x^(4)

$x^{7} \cdot x^{4}$

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Evaluate integers raised to rational exponents

Full solution

Q.

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

Identify Base and Exponents: Identify the base and the exponents in the expression. $\newline$ In $x^{7}\times x^{4}$ , the base is $x$ , the first exponent is $7$ , and the second exponent is $4$ .
Apply Product Rule: Apply the Product Rule for exponents. $\newline$ The Product Rule states that when multiplying two expressions with the same base, you add the exponents. $\newline$ $x^{7}$ $\times$ $x^{4}$ = $x^{7+4}$
Perform Exponent Addition: Perform the addition of the exponents. $\newline$ $7 + 4 = 11$ $\newline$ So, $x^{7}$ $x^{4} = x^{11}$
Write Final Expression: Write the final simplified expression. $\newline$ The simplified form of $x^{7}\times x^{4}$ is $x^{11}$ .

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