Simplify: (-5x^(4))^(2) Answer:

Apply Power Rule: To simplify the expression (-5x^(4))^(2), we need to apply the power of a power rule, which states that (a^n)^m = a^(n*m). In this case, a is -5x^4, n is 1 (since any number to the power of 1 is itself), and m is 2. Calculation: (-5x^(4))^(2) = (-5)^2 * (x^4)^2Calculate Squares: Now we need to calculate the square of -5 and the square of x^4 separately. Calculation: (-5)^2 = 25 and (x^4)^2 = x^(4*2) = x^8Multiply Results: Finally, we multiply the results of the two squares together to get the simplified expression. Calculation: 25 * x^8 = 25x^8

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Simplify: $\newline$ $\left(-5 x^{4}\right)^{2}$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Simplify:

\newline

\left(-5 x^{4}\right)^{2}

\newline

Answer:

Apply Power Rule: To simplify the expression $(-5x^{4})^{2}$ , we need to apply the power of a power rule, which states that $(a^{n})^{m} = a^{n*m}$ . In this case, $a$ is $-5x^4$ , $n$ is $1$ (since any number to the power of $1$ is itself), and $m$ is $2$ . $\newline$ Calculation: $(-5x^{4})^{2} = (-5)^{2} \times (x^4)^{2}$
Calculate Squares: Now we need to calculate the square of $-5$ and the square of $x^4$ separately. $\newline$ Calculation: $(-5)^2 = 25$ and $(x^4)^2 = x^{(4*2)} = x^8$
Multiply Results: Finally, we multiply the results of the two squares together to get the simplified expression. $\newline$ Calculation: $25 \times x^8 = 25x^8$